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

Author

Jianxing Bi and Xianhua Li

Subjects
Combinatorics, Mathematics::Group Theory, Finite group, Algebra and Number Theory, Solvable group, Locally finite group, Symmetric group, Simple group, Alternating group, Cyclic group, Sporadic group, Mathematics
Abstract

In this paper we prove that a finite group G is isomorphic to the finite simple group L n (q) with n ≥ 3 if and only if they have the same set of order of solvable subgroups. #Communicated by A. Yu Olshanskii.

Published
2005

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