(2,3,t)-Generations for the janko group j3

DOI10.1080/00927879508825474zbMath0840.20011OpenAlexW2092665812MaRDI QIDQ4852252

Jamshid Moori, Shahiem Ganief

Publication date: 20 February 1996

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

Full work available at URL: https://doi.org/10.1080/00927879508825474

zbMATH Keywords

maximal subgroupscharacter tablesgenerators and relationsthird Janko group

Mathematics Subject Classification ID

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

Related Items

\((p,q,r)\)-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 ⋮ The (p,q,r)-generations of the alternating group A_11 ⋮ rX-Complementary generations of the janko groups j₁J₂And j₃ ⋮ Homomorphic images of \(\Delta(2,3,11)\). ⋮ The conjugacy class ranks of $M_{24}$ ⋮ \(2\)-generations of the fourth Janko group \(J_4\) ⋮ On \((2,3)\)-generation of Fischer's largest sporadic simple group \(\mathrm{Fi}_{24}^\prime\)

Uses Software

• GAP
• Cayley

Cites Work

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• On Hurwitz generation and genus actions of sporadic groups
• Sporadic simple groups which are Hurwitz
• The maximal subgroups of Janko's simple group of order 50, 232, 960
• Some results on quotients of triangle groups
• Representing M₁₁, M₁₂, M₂₂, and M₂₃on surfaces of least genus
• The Symmetric Genus of Sporadic Groups
• 3/2—Generation of the sporadic simple groups
• (2,3,_p)-generations for the fischer group f₂₂