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.
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
@article{10_4153_CMB_1983_015_5,
author = {Webb, U. H. M.},
title = {On the {Rank} of a {p-Group} of {Class} 2},
journal = {Canadian mathematical bulletin},
pages = {101--105},
year = {1983},
volume = {26},
number = {1},
doi = {10.4153/CMB-1983-015-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-015-5/}
}
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