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9 - An Introduction to Crowns in Finite Groups

Published online by Cambridge University Press:  25 November 2023

Edited by
David Jordan ,
Nadia Mazza  and
Sibylle Schroll
David Jordan
Affiliation:
University of Edinburgh
Nadia Mazza
Affiliation:
Lancaster University
Sibylle Schroll
Affiliation:
Universität zu Köln
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Summary

We describe the generalization of the theory of crowns in finite soluble groups to the universe of all finite groups. We also include an application of this theory to determining the minimal generator number of an arbitrary finite group.

Keywords

finite groupschief factorscrowns
Type
Chapter
Information
Modern Trends in Algebra and Representation Theory , pp. 317 - 334
Publisher: Cambridge University Press
Print publication year: 2023

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References

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