Geodesic
Nearly Regular p-Groups
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 520-522

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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. 
Hobby, C. R. Nearly Regular p-Groups. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 520-522. doi: 10.4153/CJM-1967-044-8
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[1] 1. Hall, Marshall, The theory of groups (New York, 1959). Google Scholar

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