(2,3,p)-generations for the fischer group f22

DOI10.1080/00927879408825089zbMath0806.20018OpenAlexW2058688923MaRDI QIDQ4304200

Jamshid Moori

Publication date: 15 February 1995

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879408825089

zbMATH Keywords

conjugacy classesmaximal subgroupsgeneratorsHurwitz groupgenerating triplesFischer group \(\text{Fi}_{22}\)

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Maximal subgroups (20E28) Series and lattices of subgroups (20D30) Generators, relations, and presentations of groups (20F05)

Related Items (14)

\((p,q,r)\)-generations of the smallest Conway group \(Co_ 3\) ⋮ \((p,q,r)\)-generations and \(nX\)-complementary generations of the sporadic groups \(HS\) and \(McL\) ⋮ On the Exact Spread of Sporadic Simple Groups ⋮ (2,3,t)-Generations for the janko group j₃ ⋮ The (p,q,r)-generations of the alternating group A_11 ⋮ rX-Complementary generations of the janko groups j₁J₂And j₃ ⋮ Generating pairs for the sporadic group \(Ru\). ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \(nX\)-complementary generations of the Fischer group \(Fi_{23}\). ⋮ The (p, q, r)-generations of the alternating group A₁₀ ⋮ \(2\)-generations of the fourth Janko group \(J_4\) ⋮ On \((2,3)\)-generation of Fischer's largest sporadic simple group \(\mathrm{Fi}_{24}^\prime\) ⋮ Generating pairs for the Held group \(He\)

Uses Software

• Cayley

Cites Work

• Unnamed Item
• Finite groups acting on surfaces and the genus of a group
• Sporadic simple groups which are Hurwitz
• Matrices and cohomology
• A theorem on permutations
• Some results on quotients of triangle groups
• On maximal subgroups of the Fischer group Fi₂₂
• Representing M₁₁, M₁₂, M₂₂, and M₂₃on surfaces of least genus
• The maximal subgroups of Fi22
• A Necessary Condition for Transitivity of a Finite Permutation Group
• On Certain Groups associated with the Smallest Fischer Group
• Subgroups generated by transpositions in f₂₂and f₂₃
• Subgroups of Fuchsian Groups and Finite Permutation Groups

This page was built for publication: (2,3,_p)-generations for the fischer group f₂₂