|
Graham Higman
Graham Higman FRS (19 January 1917 – 8 April 2008) was a prominent English mathematician known for his contributions to group theory. Biography Higman was born in Louth, Lincolnshire, and attended Sutton High School, Plymouth, winning a scholarship to Balliol College, Oxford. In 1939 he co-founded The Invariant Society, the student mathematics society, and earned his DPhil from the University of Oxford in 1941. His thesis, ''The units of group-rings'', was written under the direction of J. H. C. Whitehead. From 1960 to 1984 he was the Waynflete Professor of Pure Mathematics at Magdalen College, Oxford. Higman was awarded the Senior Berwick Prize in 1962 and the De Morgan Medal of the London Mathematical Society in 1974. He was the founder of the Journal of Algebra and its editor from 1964 to 1984. Higman had 51 D.Phil. students, including Jonathan Lazare Alperin, Rosemary A. Bailey, Marston Conder, John Mackintosh Howie, and Peter M. Neumann. He was also ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Louth, Lincolnshire
Louth () is a market town and Civil parishes in England, civil parish in the East Lindsey district of Lincolnshire, England.OS Explorer map 283:Louth and Mablethorpe: (1:25 000): Louth serves as an important town for a large rural area of eastern Lincolnshire. Visitor attractions include St James' Church, Louth, St James' Church, Hubbard's Hills, the market, many independent retailers, and Lincolnshire's last remaining cattle market. Geography Louth is at the foot of the Lincolnshire Wolds where they meet the Lincolnshire Marsh. It developed where the ancient trackway along the Wolds, known as the Barton Street, crossed the River Lud. The town is east of a gorge carved into the Wolds that forms the Hubbard's Hills. This area was formed from a glacial overspill channel in the last glacial period. The River Lud meanders through the gorge before entering the town. Directly to the southeast of Louth is the village of Legbourne, to the northeast is the village of Keddington, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hall–Higman Theorem
In mathematical group theory, the Hall–Higman theorem, due to , describes the possibilities for the minimal polynomial of an element of prime power order for a representation of a ''p''-solvable group. Statement Suppose that ''G'' is a ''p''-solvable group with no normal ''p''-subgroups, acting faithfully on a vector space over a field of characteristic ''p''. If ''x'' is an element of order ''p''''n'' of ''G'' then the minimal polynomial is of the form (''X'' − 1)''r'' for some ''r'' ≤ ''p''''n''. The Hall–Higman theorem states that one of the following 3 possibilities holds: *''r'' = ''p''''n'' *''p'' is a Fermat prime and the Sylow 2-subgroups of ''G'' are non-abelian and ''r'' ≥ ''p''''n'' −''p''''n''−1 *''p'' = 2 and the Sylow ''q''-subgroups of ''G'' are non-abelian for some Mersenne prime In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Journal Of Algebra
''Journal of Algebra'' (ISSN 0021-8693) is an international mathematical research journal in algebra. An imprint of Academic Press, it is published by Elsevier Elsevier ( ) is a Dutch academic publishing company specializing in scientific, technical, and medical content. Its products include journals such as ''The Lancet'', ''Cell (journal), Cell'', the ScienceDirect collection of electronic journals, .... ''Journal of Algebra'' was founded by Graham Higman, who was its editor from 1964 to 1984. From 1985 until 2000, Walter Feit served as its editor-in-chief. In 2004, ''Journal of Algebra'' announced (vol. 276, no. 1 and 2) the creation of a new section on computational algebra, with a separate editorial board. The first issue completely devoted to computational algebra was vol. 292, no. 1 (October 2005). The Editor-in-Chief of the ''Journal of Algebra'' is Michel Broué, Université Paris Diderot, and Gerhard Hiß, Rheinisch-Westfälische Technische Hochschule Aachen ( R ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
London Mathematical Society
The London Mathematical Society (LMS) is one of the United Kingdom's Learned society, learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh Mathematical Society and the Operational Research Society (ORS). History The Society was established on 16 January 1865, the first president being Augustus De Morgan. The earliest meetings were held in University College London, University College, but the Society soon moved into Burlington House, Piccadilly. The initial activities of the Society included talks and publication of a journal. The LMS was used as a model for the establishment of the American Mathematical Society in 1888. Mary Cartwright was the first woman to be President of the LMS (in 1961–62). The Society was granted a royal charter in 1965, a century after its foundation. In 1998 the Society moved from rooms in Burlington House into De Morgan House (named after t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
De Morgan Medal
The De Morgan Medal is a prize for outstanding contribution to mathematics, awarded by the London Mathematical Society. The Society's most prestigious award, it is given in memory of Augustus De Morgan, who was the first President of the society. It is awarded every three years, usually to a mathematician living and working in the United Kingdom. In 1968, Mary Cartwright became the first woman to receive the award. De Morgan Medal winners Recipients of the De Morgan Medal include the following: *1884 Arthur Cayley *1887 James Joseph Sylvester *1890 John William Strutt, 3rd Baron Rayleigh, Lord Rayleigh *1893 Felix Klein *1896 Samuel Roberts (mathematician), S. Roberts *1899 William Burnside *1902 A. G. Greenhill *1905 H. F. Baker *1908 J. W. L. Glaisher *1911 Horace Lamb *1914 J. Larmor *1917 W. H. Young *1920 E. W. Hobson *1923 P. A. MacMahon *1926 Augustus Edward Hough Love, A. E. H. Love *1929 Godfrey Harold Hardy *1932 Bertrand Russell *1935 E. T. Whittaker *1938 John Eden ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Magdalen College, Oxford
Magdalen College ( ) is a Colleges of the University of Oxford, constituent college of the University of Oxford. It was founded in 1458 by Bishop of Winchester William of Waynflete. It is one of the wealthiest Oxford colleges, as of 2022, and one of the strongest academically, setting the record for the highest Norrington Table, Norrington Score in 2010 and topping the table twice since then. It is home to several of the university's distinguished Chair (academic), chairs, including the Serena Professor of Italian#Serena Professors at Oxford, Agnelli-Serena Professorship, the Sherardian Professor of Botany, Sherardian Professorship, and the four Waynflete Professorships. The large, square Magdalen Tower is an Oxford landmark, and it is a tradition, dating to the days of Henry VII of England, Henry VII, that the college choir sings from the top of it at 6 a.m. on May Morning. The college stands next to the River Cherwell and the University of Oxford Botanic Garden. Within i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Waynflete Professorships
The Waynflete Professorships are four professorial fellowships at the University of Oxford endowed by Magdalen College and named in honour of the college founder William of Waynflete, who had a great interest in science. These professorships are statutory professorships of the University, that is, they are professorships established in the university's regulations, and which are by those regulations attached to Magdalen College in particular. The oldest professorship is the Waynflete Professor of Metaphysical Philosophy. The three science professorships were created following the recommendation of the University Commission in 1857, in recognition of William of Waynflete's lifetime support of science. The professorships are the Waynflete Professor of Chemistry, the Waynflete Professor of Physiology, and the Waynflete Professor of Pure Mathematics. Waynflete Professors of Metaphysical Philosophy This Waynflete Professorship is one of five statutory professorships in philosophy at ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Oxford University Invariant Society
The Oxford University Invariant Society, or 'The Invariants', is a university society open to members of the University of Oxford, dedicated to promotion of interest in mathematics. The society regularly hosts talks from professional mathematicians on topics both technical and more popular, from the mathematics of juggling to the history of mathematics. Many prominent British mathematicians were members of the society during their time at Oxford. History The Society was founded in 1936 by J. H. C. Whitehead together with two of his students at Balliol College, Graham Higman and Jack de Wet. The name of the society was chosen at random by Higman from the titles of the books on Whitehead's shelf; in this case, Oswald Veblen's ''Invariants of Quadratic Differential Forms''. The opening lecture was given by G. H. Hardy in Hilary Term 1936, with the title 'Round Numbers'. Though many members joined the armed forces during the war, meetings continued, including lectures by Dougl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sutton High School, Plymouth
Sutton High School for Boys was a grammar school in Sutton, Plymouth, Devon, England, from 1926 to 1986. It was evacuated to St Austell, Cornwall, during World War II. The school's building in Regent Street has been converted into flats. The school's war memorial plaques were moved to St John's Church, Plymouth. History The school, built of Plymouth limestone, first opened in 1897 as the Regent Street Higher Grade School when pupils from Mount Street Higher Grade Board School moved into the building. The School motto was "shine to serve" and it continued until a reorganisation in 1926 when boys from Keppel Place Central School exchanged Places with the Girls in Regent Street Higher Grade School. The boys' school in Regent Street became known as Sutton Secondary School for Boys and the girls' school Stoke Damerel High School for Girls. Eventually despite the actions of the LEA the name was changed to Sutton High School for Boys. Perhaps because of their shared history a clo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Group Theory
In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field (mathematics), fields, and vector spaces, can all be seen as groups endowed with additional operation (mathematics), operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, and Standard Model, three of the four known fundamental forces in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also cen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematical model, models, and mathematics#Calculus and analysis, change. History One of the earliest known mathematicians was Thales of Miletus (); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem. The number of known mathematicians grew when Pythagoras of Samos () established the Pythagorean school, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman math ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fellow Of The Royal Society
Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted by the Fellows of the Royal Society of London to individuals who have made a "substantial contribution to the improvement of natural science, natural knowledge, including mathematics, engineering science, and medical science". Overview Fellowship of the Society, the oldest known scientific academy in continuous existence, is a significant honour. It has been awarded to :Fellows of the Royal Society, around 8,000 fellows, including eminent scientists Isaac Newton (1672), Benjamin Franklin (1756), Charles Babbage (1816), Michael Faraday (1824), Charles Darwin (1839), Ernest Rutherford (1903), Srinivasa Ramanujan (1918), Jagadish Chandra Bose (1920), Albert Einstein (1921), Paul Dirac (1930), Subrahmanyan Chandrasekhar (1944), Prasanta Chandra Mahalanobis (1945), Dorothy Hodgkin (1947), Alan Turing (1951), Lise Meitner (1955), Satyendra Nath Bose (1958), and Francis Crick (1959). More recently, fellow ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
