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Remarks On Finite Groups Defined By Generating Relations

Published online by Cambridge University Press:  20 November 2018

Robert Frucht
Robert Frucht*
Affiliation:
Technical University “Santa Maria” Valparaiso, Chile
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1. Introduction. After establishing a duplication principle (§2) which enables us to derive a group of order 2h with k + 1 involutory generators from any group of order h with k generators, we shall prove the following combination principle :

Let and be two groups, each having k generators, such that the rth generators of and have relatively prime periods for each r from 1 to k.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 8 - 17
Copyright
Copyright © Canadian Mathematical Society 1955

References

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