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Nearly Regular p-Groups
Published online by Cambridge University Press: 20 November 2018
Extract
A finite p-group G is said to be regular if for every pair of elements a, b in G,
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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.
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- Copyright © Canadian Mathematical Society 1967
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