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October 2009 A Characterization of Higher Order Wielandt Subgroups and Some Applications
A. Y. M. Chin, Angeline P. L. Lee
Missouri J. Math. Sci. 21(3): 206-209 (October 2009). DOI: 10.35834/mjms/1316024886

Abstract

In this paper we obtain a characterization of the $i$th Wielandt subgroup of a finite group. We then use this to find relations between the Wielandt length of a finite group and that of some of its factor groups. This in turn is used to obtain an upper bound for the Wielandt lengths of finite $p$-groups.

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A. Y. M. Chin. Angeline P. L. Lee. "A Characterization of Higher Order Wielandt Subgroups and Some Applications." Missouri J. Math. Sci. 21 (3) 206 - 209, October 2009. https://doi.org/10.35834/mjms/1316024886

Information

Published: October 2009
First available in Project Euclid: 14 September 2011

zbMATH: 1182.20023
MathSciNet: MR2584546
Digital Object Identifier: 10.35834/mjms/1316024886

Subjects:
Primary: 20D25
Secondary: 20D35

Rights: Copyright © 2009 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.21 • No. 3 • October 2009
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