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Character degrees and CLT-groups

Published online by Cambridge University Press:  17 April 2009

R. Brandl  and
P.A. Linnell
R. Brandl
Affiliation:
Mathematisches Institut, Am Hubland 12, D-8700 Würzburg, Federal Republic of Germany
P.A. Linnell
Affiliation:
Department of Mathematics, VPI and SU, Blacksburg, VA 24061–0123, United States of America
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Abstract

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Let G be a finite group and let k be a field. We determine the smallest possible rank of a free kG-module that contains submodules of every possible dimension. As an application, we obtain various criteria for the wreath product of two finite groups to be a CLT-group.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 39 , Issue 2 , April 1989 , pp. 249 - 254
Copyright
Copyright © Australian Mathematical Society 1989

References

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