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On the Rank of a p-Group of Class 2
Published online by Cambridge University Press: 20 November 2018
Abstract
Let d(G) denote the minimal number of generators of the finite p-group G, r(G) the maximum over all subgroups H of G of d(H) and ra(G) the maximum over all abelian subgroups H of G of d(H). If G is of class two it is clear that
By considering properties of the stability number of graphs we construct examples which show that any value of r(G) within these bounds can occur.
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- Copyright © Canadian Mathematical Society 1983
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