J Austral Math Soc Ser A 46 pp22--60, 1989.

Varieties of Groups and Isologisms

N. S. Hekster

Abstract

In order to classify solvable groups Phillip 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.

1980 AMS Subject Classification (1985 Revision): 20E10, 20E99, 20F14

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Authors

N. S. Hekster

Mathematisch Institut, Universiteit van Amsterdam, Roetersstraat 15, 1018 WB Amsterdam, The Netherlands.