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Remarks On Finite Groups Defined By Generating Relations
Published online by Cambridge University Press: 20 November 2018
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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.
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- Copyright © Canadian Mathematical Society 1955
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