A classification of subgroups of the Monster isomorphic to \(S_4\) and an application.

DOI10.1016/j.jalgebra.2004.01.031zbMath1190.20009OpenAlexW2040375488WikidataQ56083009 ScholiaQ56083009MaRDI QIDQ932849

Petra E. Holmes

Publication date: 11 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.01.031

zbMATH Keywords

maximal subgroupsMonstersporadic simple groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Simple groups: sporadic groups (20D08) Maximal subgroups (20E28) Series and lattices of subgroups (20D30)

Related Items

Maximal subgroups of sporadic groups, Classification of subgroups isomorphic to in the Monster, Is the Suzuki group Sz(8) a subgroup of the Monster?

Uses Software

• GAP
• Magma

Cites Work

• A new maximal subgroup of the Monster
• ANATOMY OF THE MONSTER: II
• A NEW COMPUTER CONSTRUCTION OF THE MONSTER USING 2-LOCAL SUBGROUPS
• PSL2(59) IS A SUBGROUP OF THE MONSTER