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A CHARACTERIZATION OF ALTERNATING GROUPS BY ORDERS OF SOLVABLE SUBGROUPS.

Authors :
Jianxing Bi
Xianhua Li
Source :
Journal of Algebra & Its Applications. Dec2004, Vol. 3 Issue 4, p445-452. 8p.
Publication Year :
2004

Abstract

In this paper, we prove that a finite group G is isomorphic to the alternating group An with n≥5 if and only if they have the same set of the orders of solvable subgroups. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02194988
Volume :
3
Issue :
4
Database :
Academic Search Index
Journal :
Journal of Algebra & Its Applications
Publication Type :
Academic Journal
Accession number :
15593660
Full Text :
https://doi.org/10.1142/S0219498804000988