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Theta Pairs and the Structure of Finite Groups.

Authors :
Li, Xianhua
Li, Shiheng
Source :
Siberian Mathematical Journal. May/Jun2004, Vol. 45 Issue 3, p557-561. 5p.
Publication Year :
2004

Abstract

We introduce the notion of θ-pair of a proper subgroup of a finite group and give necessary and sufficient conditions for supersolvability and nilpotence of a finite group. As application, we give a proof to a recent open problem of Skiba in the unsolved problems in group theory. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*FINITE groups
*THETA series
*GROUP theory
*NILPOTENT groups
*ALGEBRA
*THETA functions

Details

Language :
English
ISSN :
00374466
Volume :
45
Issue :
3
Database :
Academic Search Index
Journal :
Siberian Mathematical Journal
Publication Type :
Academic Journal
Accession number :
16920868
Full Text :
https://doi.org/10.1023/B:SIMJ.0000028620.09784.ac
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