On the Finite Group with the Same Orders of Solvable Subgroups as the Simple GroupL n (q)

DOI10.1081/AGB-200061013zbMath1072.20014OpenAlexW2127855886MaRDI QIDQ5462856

Jianxing Bi, Xianhua Li

Publication date: 27 July 2005

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

Full work available at URL: https://doi.org/10.1081/agb-200061013

zbMATH Keywords

finite simple groupsorders of solvable subgroups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items

GROUPS WITH FEW SOLVABLE SUBGROUPS

Cites Work

• A characterization of some finite simple groups by orders of their solvable subgroups
• Transitive subgroups of primitive permutation groups
• Hall subgroups of certain families of finite groups
• Some finite nonsolvable groups characterized by their solvable subgroups
• Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups
• Influence of Indices of the Maximal Subgroups of the Finite Simple Groups on the Structure of a Finite Group
• Some finite nonsolvable groups characterized by their solvable subgroups^∗
• Nonsolvable finite groups all of whose local subgroups are solvable