Varieties of groups and isologisms

Author:

Hekster N. S.

Abstract

AbstractIn 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference22 articles.

1. On Critical p -Groups†

2. [20] van der Waall R. W. , ‘On n–isoclinic embedding of groups’, to appear in J. Pure Appl. Algebra.

3. A note on induced central extensions

4. Polycyclic Groups

5. On the Schur-Baer property

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