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known as group theory, the Fischer group Fi22 is a sporadic simple group of order    64,561,751,654,400 = 217 · 39 · 52 · 7 · 11 · 13 ≈ 6×1013. Fi22 is one...

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...

automorphism group has order 2, with the full automorphism group being the group 2F4(2). The Tits group occurs as a maximal subgroup of the Fischer group Fi22. The...

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...

Fischer group Fi22". ATLAS of Finite Group Representations. Nickerson, S.J.; Wilson, R.A. (2011). "Semi-Presentations for the Sporadic Simple Groups"...

orthogonal group POnμ(3) (with μ=±1 and n≥5) generated by the class D of reflections of norm +1 vectors. G/Z(G) is one of the three Fischer groups Fi22, Fi23...

suggested by Bernd Fischer in unpublished work from the early 1970s during his investigation of {3,4}-transposition groups: groups generated by a class...

cover 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...

groups that can be generated as Hurwitz groups: the Janko groups J1, J2 and J4, the Fischer groups Fi22 and Fi'24, the Rudvalis group, the Held group...

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...

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...