On the Rank of a p-Group of Class 2
Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 101-105

Voir la notice de l'article provenant de la source Cambridge University Press

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 r a (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.
DOI : 10.4153/CMB-1983-015-5
Mots-clés : 20D15
Webb, U. H. M. On the Rank of a p-Group of Class 2. Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 101-105. doi: 10.4153/CMB-1983-015-5
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[1] 1. Bollobas, B., Graph Theory, Springer GTM 63. Google Scholar

[2] 2. Higman, G., Enumerating p-groups. I: Inequalities. Proc. Lond. Math. Soc, Ser 3, 10, (1960), 24-30. Google Scholar

[3] 3. Patterson, A. R. (MacWilliams), The minimal number of generators for p' subgroups of GL(n, p), J. Algebra 32, (1974) 132-140. Google Scholar

[4] 4. Wehrfritz, B. A. F., The rank of a linear p-group; An apology, J. Lond. Math. Soc. (2), 21 (1980), 237-243. Google Scholar

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