Nearly Regular p-Groups
- 1 January 1967
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 19, 520-522
- https://doi.org/10.4153/cjm-1967-044-8
Abstract
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.Keywords
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