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Sylow
Sylow is a surname that originates in Denmark. Notable people with the surname include: People *Peter Ludvig Sylow (1832–1918), Norwegian mathematician *Ludvig Sylow (DBU) (1861–1933), Danish football executive *Arnoldus von Westen Sylow Koren (1764–1854), Norwegian civil servant and district judge *Thomas Edvard von Westen Sylow (1792–1875), Norwegian Minister of the Army Other uses *Sylow theorems, a collection of theorems named after the Norwegian mathematician Peter Ludwig Sylow *Symmetric group#Sylow subgroups, Sylow subgroups of the symmetric groups are important examples of p-groups *Sylow-Tournament, a knockout football competition contested annually between 1918 and 1926 {{surname, Sylow Danish-language surnames ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Peter Ludvig Sylow
Peter Ludvig Meidell Sylow () (12 December 1832 – 7 September 1918) was a Norwegians, Norwegian mathematician who proved foundational results in group theory. Sylow processed and further developed the innovative works of mathematicians Niels Henrik Abel and Évariste Galois in algebra. Sylow theorems and p-groups, known as ''Sylow subgroups'', are fundamental in finite groups. By profession, Sylow was a teacher at the Fredrikshald Latin School (Norwegian: Fredrikshalds lærde og realskole) for 40 years from 1858 to 1898, and then a professor at the University of Oslo for 20 years from 1898 to 1918. Despite the isolation in Frederikshald, Sylow was an active member of the mathematical world. He wrote a total of approximately 25 mathematical and biographical works, corresponded with many of the leading mathematicians of the time, and was an able co-editor of ''Acta Mathematica'' from the journal's start in 1882. He was also elected into the Norwegian Academy of Science and Letter ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sylow Theorems
In mathematics, specifically in the field of finite group theory, the Sylow theorems are a collection of theorems named after the Norwegian mathematician Peter Ludwig Sylow that give detailed information about the number of subgroups of fixed order that a given finite group contains. The Sylow theorems form a fundamental part of finite group theory and have very important applications in the classification of finite simple groups. For a prime number p, a ''p''-group is a group whose cardinality is a power of p; or equivalently, the order of each group element is some power of p. A Sylow ''p''-subgroup (sometimes ''p''-Sylow subgroup) of a finite group G is a maximal p-subgroup of G, i.e., a subgroup of G that is a ''p''-group and is not a proper subgroup of any other p-subgroup of G. The set of all Sylow p-subgroups for a given prime p is sometimes written \text_p(G). The Sylow theorems assert a partial converse to Lagrange's theorem. Lagrange's theorem states that for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sylow-Tournament
Sylow-Tournament () was a knockout association football competition contested annually between 1918 and 1926, organised by the Danish FA (DBU), which determined the championship of the representative teams, referred to as ''Sylow-teams'', of the six Danish regional football associations. The competition was held between the selected teams () of Copenhagen FA, Funen FA, Jutland FA, Lolland-Falster FA and Zealand FA for the first three seasons (1918–1920), before being joined by the Bornholm FA team in 1921 and eventually an additional Copenhagen FA team exclusively composed of players from the KBUs A-række competing in 1926. The 1926 season became the last edition of the Sylow Tournament, which was abolished and replaced by a year-long league format for clubs, known as Danmarksmesterskabsturneringen i Fodbold, the following season. The competition was created in 1918 after a proposal from the chairman of the Danish FA, Louis Østrup, modelled after the Landsfodboldturner ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ludvig Sylow (DBU)
Ludvig Sylow (6 October 1861 – 20 February 1933) was a Danish football executive, who was the fifth chairman of the Danish Football Association from 1911 to 1918. He was also a member of FIFA's founding board of directors. Early life Ludvig Sylow was born on 6 October 1861 as the son of a mayor. After a brief stint at the Korsør Realskole, Sylow attended the Sorø Academy in 1877, where he helped to introduce football in 1878. Later that year, he graduated after taking a maths and science exam and was then employed by the Post and Telegraph Service. As a result of this, Sylow was moved to Copenhagen and advanced to mailroom clerk in 1886, and became a post inspector in 1914. Shortly after he moved to Copenhagen in 1879, Sylow became associated with Kjøbenhavns Boldklub (KB), for whom he played several first-team matches in football, tennis, cricket, and was the captain of KB's cricket match team for many years. Sports career Over time he became heavily involved in the organ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Symmetric Group
In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions. In particular, the finite symmetric group \mathrm_n defined over a finite set of n symbols consists of the permutations that can be performed on the n symbols. Since there are n! (n factorial) such permutation operations, the order (number of elements) of the symmetric group \mathrm_n is n!. Although symmetric groups can be defined on infinite sets, this article focuses on the finite symmetric groups: their applications, their elements, their conjugacy classes, a finite presentation, their subgroups, their automorphism groups, and their representation theory. For the remainder of this article, "symmetric group" will mean a symmetric group on a finite set. The symmetric group is important to diverse areas of mathematics such as Galois theory, invariant theory, the re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arnoldus Von Westen Sylow Koren
Arnoldus von Westen Sylow Koren (22 July 1764 – 8 October 1854) was a civil servant and district judge. He served as a representative at the Norwegian Constitutional Assembly. Biography Arnoldus Koren was born in Bergen, Norway. He father Niels Johansen Koren (1718-1784) was a sea captain and later merchant in Bergen. His elder brother was Ulrich Wilhelm Koren (1747-1826) who served as district governor in Stavanger. He completed Bergen Cathedral School in 1784. He started the divinity school in University of Copenhagen prior to earning his law degree in 1789. Trained as a lawyer, he served as district judge and magistrate (''Sorenskriver'') in Hardanger and Voss from 1799. He represented Søndre Bergenhus amt (now Hordaland) at the Norwegian Constituent Assembly at Eidsvoll Eidsvoll (; sometimes written as ''Eidsvold'') is a Municipalities of Norway, municipality in Akershus Counties of Norway, county, Norway. It is part of the Romerike Districts of Norway, trad ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Thomas Edvard Von Westen Sylow
Thomas Edvard von Westen Sylow (3 August 1792 – 20 December 1875) was the Norwegian Minister of the Army 1848–1852 and 1852–1853, and member of the Council of State Division in Stockholm Stockholm (; ) is the Capital city, capital and List of urban areas in Sweden by population, most populous city of Sweden, as well as the List of urban areas in the Nordic countries, largest urban area in the Nordic countries. Approximately ... 1851–1852 and 1853–1854. Sylow was the father of mathematician Peter Ludwig Mejdell Sylow and military officer and sports official Carl Sylow. References 1792 births 1875 deaths Government ministers of Norway Ministers of defence of Norway {{Norway-politician-1790s-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
