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Groups with no nontrivial linear representations

Published online by Cambridge University Press:  17 April 2009

A.J. Derrick
A.J. Derrick
Affiliation:
Department of MathematicsNational University of SingaporeLower Kent Ridge Rd Singapore 0511Republic of Singapore e-mail: matberic@nusunix.nus.sg
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Abstract

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We study the class of groups having no nontrivial linear representations over certain fields. After showing the class to be closed under perfect extensions with locally soluble kernel, we expand considerably the number of acyclic groups known to be in the class, by application to both binate groups and the acyclic automorphism groups of de la Harpe and McDuff.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 50 , Issue 1 , August 1994 , pp. 1 - 11
Copyright
Copyright © Australian Mathematical Society 1994

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