as group theory, the Fischergroups are the three sporadic simple groups Fi22, Fi23 and Fi24 introduced by Bernd Fischer (1971, 1976). The Fischer groups...
Janko groups J1, J2 or HJ, J3 or HJM, J4 Conway groups Co1, Co2, Co3 Fischergroups 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...
suggested by Bernd Fischer in unpublished work from the early 1970s during his investigation of {3,4}-transposition groups: groups generated by a class...
corresponding to the 3-transpositions of Fi24, with point stabilizer the FischergroupFi23. The triple cover has a complex representation of dimension 783. When...
permutation group. This gives several "chains" of rank-3 permutation groups, such as the Suzuki chain and the chain ending with the Fischergroups. Some unusual...