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Graham Higman
Graham Higman FRS FRS may also refer to: Government and politics * Facility Registry System, a centrally managed Environmental Protection Agency database that identifies places of environmental interest in the United States * Family Resources Survey, a survey to c ... (19 January 1917 – 8 April 2008) was a prominent English mathematician A mathematician is someone who uses an extensive knowledge of mathematics Mathematics (from Greek: ) includes the study of such topics as numbers (arithmetic and number theory), formulas and related structures (algebra), shapes and spaces ... known for his contributions to group theory In mathematics Mathematics (from Greek: ) includes the study of such topics as numbers ( and ), formulas and related structures (), shapes and spaces in which they are contained (), and quantities and their changes ( and ). There is no .... Biography Higman was born in Louth, Lincolnshire Louth () is a market town A ma ...
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Louth, Lincolnshire
Louth () is a market town A market town is a European settlement that obtained by custom or royal charter, in the Middle Ages In the history of Europe The history of Europe concerns itself with the discovery and collection, the study, organization and p ... and civil parish In England, a civil parish is a type of administrative parish used for local government Local government is a generic term for the lowest tiers of public administration Public administration is the implementation of public policy, gove ... in the East Lindsey East Lindsey is a local government district The districts of England (also known as local authority districts or local government districts to distinguish from unofficial city districts) are a level of subnational division of England used ... district of Lincolnshire Lincolnshire (abbreviated Lincs.) is a Counties of England, county in the East Midlands of England, with a long coastline on the North S ...
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Hall–Higman Theorem
In mathematics, 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, ''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 ''q'' = 2''m'' − 1 less than 2''n'' and ''r''&nb ...
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Journal Of Algebra
''Journal of Algebra'' (ISSN 0021-8693) is an international mathematical research journal in abstract algebra, algebra. An imprint of Academic Press, it is published by Elsevier. ''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 (RWTH) is Editor of the computational algebra section. See also *Susan Montgomery, an editor of the journal External links ''Journal of Algebra'' at ScienceDirect
Mathematics journals Publications established in 1964 {{mathematic ...
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London Mathematical Society
The London Mathematical Society (LMS) is one of the United Kingdom's learned societies A learned society (; also known as a learned academy, scholarly society, or academic association) is an organization An organization, or organisation ( Commonwealth English; see spelling differences), is an entity – such as a compan ... for mathematics Mathematics (from Greek: ) includes the study of such topics as numbers (arithmetic and number theory), formulas and related structures (algebra), shapes and spaces in which they are contained (geometry), and quantities and their changes (cal ... (the others being the Royal Statistical Society The Royal Statistical Society (RSS) is an established statistical society. It has three main roles: a British learned society A learned society (; also known as a learned academy, scholarly society, or academic association) is an organiza ... (RSS), the Institute of Mathematics and its Applications The Institute of Mathe ...
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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. The medal is awarded every third year (in years divisible by 3) to a mathematician who is normally resident in the United Kingdom on 1 January of the relevant year. The only grounds for the award of the medal are the candidate's contributions to mathematics. De Morgan Medal winners Recipients of the De Morgan Medal include the following:List of LMS prize winners
LMS website, accessed July 2011


See also

* Whitehead Prize * Fröhlich Prize * Senior Whitehead Prize * Berwick Prize * Naylor Prize and Lectureship * Pólya Prize (LMS) * List of mathematics awards



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Magdalen College, Oxford
Magdalen College ( ) is a constituent college A collegiate university is a university A university ( la, universitas, 'a whole') is an educational institution, institution of higher education, higher (or Tertiary education, tertiary) education and research which awards academic degrees in ... of the University of Oxford The University of Oxford is a collegiate university, collegiate research university in Oxford, England. There is evidence of teaching as early as 1096, making it the oldest university in the English-speaking world and the List of oldest universit .... It was founded in 1458 by William of Waynflete William Waynflete (circa, c. 139811 August 1486), born William Patten, was Provost of Eton (1442–1447), Bishop of Winchester (1447–1486) and Lord Chancellor of England (1456–1460). He is best remembered as the founder of Magdalen College, .... Today, it is the fourth wealthiest college, with a financial endowment A financial endowment is a legal stru ...
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Waynflete Professorships
The Waynflete Professorships are four professorial fellowships at the University of Oxford The University of Oxford is a collegiate university, collegiate research university in Oxford, England. There is evidence of teaching as early as 1096, making it the oldest university in the English-speaking world and the List of oldest universit ... endowed by Magdalen College Magdalen College ( ) is a Colleges of the University of Oxford, constituent college of the University of Oxford. It was founded in 1458 by William of Waynflete. Today, it is the fourth wealthiest college, with a financial endowment of £332.1 ... and named in honour of the college founder William of Waynflete William Waynflete (circa, c. 139811 August 1486), born William Patten, was Provost of Eton (1442–1447), Bishop of Winchester (1447–1486) and Lord Chancellor of England (1456–1460). He is best remembered as the founder of Magdalen College, ..., who had a great interest in science. These professors ...
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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 Douglas H ...
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Plymouth
Plymouth () is a port city A city is a large human settlement.Goodall, B. (1987) ''The Penguin Dictionary of Human Geography''. London: Penguin.Kuper, A. and Kuper, J., eds (1996) ''The Social Science Encyclopedia''. 2nd edition. London: Routledge. It can be defined as a ... and unitary authority A unitary authority is a local authority Local government is a generic term for the lowest tiers of public administration Public administration is the implementation of public policy, government policy and also an academic discipline that s ... in South West England South West England is one of nine official regions of England The regions, formerly known as the government office regions, are the highest tier of sub-national division in England England is a Countries of the United Kingdom, count .... It is located on the south coast of Devon Devon (, archaically known as Devonshire) is a county A county is a geographical region of a country us ...
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Group Theory
In mathematics Mathematics (from Greek: ) includes the study of such topics as numbers ( and ), formulas and related structures (), shapes and spaces in which they are contained (), and quantities and their changes ( and ). There is no general consensus abo ... and abstract algebra In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures. Algebraic structures include group (mathematics), groups, ring (mathematics), rings, field (mathema ..., group theory studies the algebraic structure In mathematics Mathematics (from Ancient Greek, Greek: ) includes the study of such topics as quantity (number theory), mathematical structure, structure (algebra), space (geometry), and calculus, change (mathematical analysis, analysis). It ...s known as groups A group is a number of people or things that are located, gathered, or classed together. Groups of people * Cultural group, a g ...
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Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics Mathematics (from Greek: ) includes the study of such topics as numbers (arithmetic and number theory), formulas and related structures (algebra), shapes and spaces in which they are contained (geometry), and quantities and their changes (cal ... in their work, typically to solve mathematical problem A mathematical problem is a problem that is amenable to being represented, analyzed, and possibly solved, with the methods of mathematics Mathematics (from Ancient Greek, Greek: ) includes the study of such topics as quantity (number theory), ...s. Mathematicians are concerned with number A number is a mathematical object A mathematical object is an abstract concept arising in mathematics. In the usual language of mathematics, an ''object'' is anything that has been (or could be) formally defined, and with which one may do deduct ...s, data Data (; ) are individual facts A fact is s ...
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Fellow Of The Royal Society
Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted by the judges of the Royal Society The Royal Society, formally The Royal Society of London for Improving Natural Knowledge, is a and the 's national . Founded on 28 November 1660, it was granted a by as The Royal Society. The society fulfils a number of roles: promoting sc ... of London to individuals who have made a "substantial contribution to the improvement of natural knowledge, including mathematics Mathematics (from Greek: ) includes the study of such topics as numbers (arithmetic and number theory), formulas and related structures (algebra), shapes and spaces in which they are contained (geometry), and quantities and their changes (cal ..., engineering science Engineering physics, or engineering science, refers to the study of the combined disciplines of physics, mathematics Mathematics (from Ancient Greek, Greek: ) includes the study of such topics as quantity (number th ...
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