centralizer
21Janko group J1 — In mathematics, the smallest Janko group, J1, of order 175560, was first described by Zvonimir Janko (1965), in a paper which described the first new sporadic simple group to be discovered in over a century and which launched the modern theory of …
22Janko group J4 — In mathematics, the fourth Janko group J 4 is a sporadic finite simple group whose existence was suggested by Zvonimir Janko (1976), and then proven to uniquely exist by Simon Norton and others in 1980. It is the unique finite simple group of… …
23Conway group — Group theory Group theory …
24Maximal torus — In the mathematical theory of compact Lie groups a special role is played by torus subgroups, in particular by the maximal torus subgroups. A torus in a Lie group G is a compact, connected, abelian Lie subgroup of G (and therefore isomorphic to… …
25Higman–Sims group — In the mathematical field of group theory, the Higman–Sims group HS (named after Donald G. Higman and Charles C. Sims) is a finite group of order : 29 · 32 · 53 · 7 · 11: = 44352000.: ≈ 4 · 107.It is a simple group , meaning it does not have any… …
26Character theory — This article refers to the use of the term character theory in mathematics. For the media studies definition, see Character theory (Media). In mathematics, more specifically in group theory, the character of a group representation is a function… …
27Character table — Main article: Character theory In group theory, a character table is a two dimensional table whose rows correspond to irreducible group representations, and whose columns correspond to classes of group elements. The entries consist of characters …
28Lyons group — In the mathematical field of group theory, the Lyons group Ly (whose existence was suggested by Richard Lyons in 1970), is a sporadic simple group of order : 28 · 37 · 56 · 7 · 11 · 31 · 37 · 67 : = 51765179004000000: ≈ 5 · 10 16 .Lyons… …
29Frobenius group — In mathematics, a Frobenius group is a transitive permutation group on a finite set, such that no non trivial elementfixes more than one point and some non trivial element fixes a point. They are named after F. G. Frobenius. Structure The… …
30Cartan subgroup — In mathematics, a Cartan subgroup of a Lie group or algebraic group G is one of the subgroups whose Lie algebrais a Cartan subalgebra. The dimension of a Cartan subgroup, and therefore of a Cartan subalgebra, is the rank of G .ConventionsThe… …
