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Nearly Regular p-Groups

Published online by Cambridge University Press:  20 November 2018

C. R. Hobby
C. R. Hobby*
Affiliation:
University of Washington, Seattle
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A finite p-group G is said to be regular if for every pair of elements a, b in G,

1

where c is an element of the derived group of the subgroup generated by a and b. We shall say that G is nearly regular if (i) there is a central element z of order p such that G/⧼z⧽ is regular, and (ii) the subgroup generated by x and y is regular whenever x ∈ G and y ∈ G′, the derived group of G.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 19 , 1967 , pp. 520 - 522
Copyright
Copyright © Canadian Mathematical Society 1967

References

1. Hall, Marshall, The theory of groups (New York, 1959).Google Scholar