Fischer group Fi24 information

the area of modern algebra known as group theory, the Fischer group Fi24 or F24′ or F3+ is a sporadic simple group of order    1,255,205,709,190,661,721...

as group theory, the Fischer groups are the three sporadic simple groups Fi22, Fi23 and Fi24 introduced by Bernd Fischer (1971, 1976). The Fischer groups...

sporadic simple groups and can be built from any two of three subquotients: the Fischer group Fi24, the baby monster, and the Conway group Co1. The Schur...

is normalized by the Fischer group Fi24, so He:2 is a subgroup of the derived subgroup Fi24' (the non-simple group Fi24 has 2 conjugacy classes of He:2...

Janko groups J1, J2 or HJ, J3 or HJM, J4 Conway groups Co1, Co2, Co3 Fischer groups Fi22, Fi23, Fi24′ or F3+ Higman-Sims group HS McLaughlin group McL Held...

automorphism group: Trivial. Other names: F1, M1, Monster group, Friendly giant, Fischer's monster. Remarks: Contains all but 6 of the other sporadic groups as...

of the Fischer group Fi22. It has a second rank-3 action on 137632 points Fi23 is the centralizer of a transposition in the Fischer group Fi24. When realizing...

Conway group Co1, the Fischer group Fi24, and the Janko group J4 each have maximal subgroups that are an extension of the Mathieu group M24 by a group 211...

permutation group. This gives several "chains" of rank-3 permutation groups, such as the Suzuki chain and the chain ending with the Fischer groups. Some unusual...

monster group), and the nodes of E ~ 6 {\displaystyle {\tilde {E}}_{6}} to conjugacy classes in 3.Fi24' (an order 3 extension of the Fischer group) – note...