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On the odd order subgroups of solvable linear groups.

Authors :
Bian, Fang
Chen, Xiaoyou
Yang, Yong
Source :
Communications in Algebra. 2024, Vol. 52 Issue 9, p3762-3772. 11p.
Publication Year :
2024

Abstract

In this paper, we first strengthen a few results about the order of solvable linear groups of odd order. We then use these results to bound the product of the orders of odd-order composition factors in a composition series of an arbitrary finite linear group. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00927872
Volume :
52
Issue :
9
Database :
Academic Search Index
Journal :
Communications in Algebra
Publication Type :
Academic Journal
Accession number :
178419579
Full Text :
https://doi.org/10.1080/00927872.2024.2329334