Finite groups that need more generators than any proper quotient

Francesca Dalla Volta, Andrea Lucchini

Type: Article

Publication Date: 1998-02-01

Citations: 62

DOI: https://doi.org/10.1017/s1446788700001312

Abstract

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.

Locations

Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics - View - PDF

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