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Varieties of groups and isologisms

Part of: Structure and classification of infinite or finite groups Special aspects of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

N. S. Hekster
N. S. Hekster
Affiliation:
Mathematisch Instituut, University van AmsterdamRoetersstraat 15, 1018 WB Amsterdam, The Netherlands
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Abstract

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In order to classify solvable groups Philip Hall introduced in 1939 the concept of isoclinism. Subsequently he defined a more general notion called isologism. This is so to speak isoclinism with respect to a certain variety of groups. The equivalence relation isologism partitions the class of all groups into families. The present paper is concerned with the internal structure of these families.

Keywords

variety of groupsisologism.

MSC classification

Secondary: 20E10: Quasivarieties and varieties of groups 20E99: None of the above, but in this section 20F14: Derived series, central series, and generalizations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 46 , Issue 1 , February 1989 , pp. 22 - 60
Copyright
Copyright © Australian Mathematical Society 1989

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