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

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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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     title = {On the {Rank} of a {p-Group} of {Class} 2},
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     year = {1983},
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     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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