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Cover-Avoidance Properties in Finite Soluble Groups

Published online by Cambridge University Press:  20 November 2018

M. J. Tomkinson
M. J. Tomkinson*
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW
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Abstract

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We give a general method for constructing subgroups which either cover or avoid each chief factor of the finite soluble group G. A strongly pronorrnal subgroup V, a prefrattini subgroup W, an -normalizer D and intersections and products of V, W, and D axe all constructable. The constructable subgroups can be characterized by their cover-avoidance property and a permutability condition as in the results of J. D. Gillam [4] for prefrattini subgroups and -normalizers.

Keywords

20D10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 19 , Issue 2 , 01 June 1976 , pp. 213 - 216
Copyright
Copyright © Canadian Mathematical Society 1976

References

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