rX-Complementary generations of the janko groups j1J2And j3

DOI10.1080/00927879608825602zbMath0844.20009OpenAlexW1985523732MaRDI QIDQ4874738

Shahiem Ganief, Jamshid Moori

Publication date: 10 June 1996

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

Full work available at URL: https://doi.org/10.1080/00927879608825602

zbMATH Keywords

maximal subgroupssporadic simple groupsJanko groupsgenerating pairs

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Generators, relations, and presentations of groups (20F05)

Related Items (5)

\((p,q,r)\)-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 ⋮ On a special quotient of the generating graph of a finite group ⋮ \(2\)-generations of the fourth Janko group \(J_4\)

Uses Software

• GAP

Cites Work

• Sporadic simple groups which are Hurwitz
• The maximal subgroups of Janko's simple group of order 50, 232, 960
• A new finite simple group with abelian Sylow 2-subgroups and its characterization
• Maximal subgroups of the Hall-Janko-Wales group
• Some results on quotients of triangle groups
• Representing M₁₁, M₁₂, M₂₂, and M₂₃on surfaces of least genus
• 3/2—Generation of the sporadic simple groups
• (2,3,_p)-generations for the fischer group f₂₂
• (2,3,t)-Generations for the janko group j₃
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