Determine the value d(M(G)) for non-abelian p-groups of order q = pnk of Nilpotency c
In this paper we prove that if n, k and t be positive integer numbers such that t < k < n and G is a non abelian p-group of order pnk with derived subgroup of order pkt and nilpotency class c, then the minimal number of generators of G is at most p1 2 ((nt+kt−2)(2c−1)(nt−kt−1)+n. In particul...
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| Format: | Article |
| Language: | English |
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Accademia Piceno Aprutina dei Velati
2020-12-01
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| Series: | Ratio Mathematica |
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| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/560 |