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.File in questo prodotto:
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