A structure theorem is proved for finite groups with the property that, for some integer m with m ≥ 2, every proper quotient group can be generated by m elements but the group itself cannot.

Dalla Volta, F., Lucchini, A. (1998). Finite groups that need more generators than any proper quotient. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 64(1), 82-91 [10.1017/s1446788700001312].

Finite groups that need more generators than any proper quotient

Dalla Volta, F;
1998

Abstract

A structure theorem is proved for finite groups with the property that, for some integer m with m ≥ 2, every proper quotient group can be generated by m elements but the group itself cannot.
Articolo in rivista - Articolo scientifico
Finite groups
English
1998
64
1
82
91
none
Dalla Volta, F., Lucchini, A. (1998). Finite groups that need more generators than any proper quotient. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 64(1), 82-91 [10.1017/s1446788700001312].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/17775
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