For a finite group X, let d.X/ indicate the minimum number of generators of X. A (finite) group G is monotone if, for every pair H; K of subgroups of G, H K implies d.H/ d.K/. Monotone p-groups have been introduced and investigated by A. Mann, who determined their structure if p > 2. In this paper, a complete classification of monotone 2-groups is given.

On monotone 2-groups

MENEGAZZO, FEDERICO
2012

Abstract

For a finite group X, let d.X/ indicate the minimum number of generators of X. A (finite) group G is monotone if, for every pair H; K of subgroups of G, H K implies d.H/ d.K/. Monotone p-groups have been introduced and investigated by A. Mann, who determined their structure if p > 2. In this paper, a complete classification of monotone 2-groups is given.
2012
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2508092
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