We consider finite p-groups G in which every cyclic subgroup has at most p conjugates. We show that the derived subgroup of such a group has order at most p^2. Further, if the stronger condition holds that all subgroups have at most p conjugates then the central factor group has order p^4 at most.

On finite p-groups with subgroups of breadth 1 / Cutolo, Giovanni; H., Smith; J., Wiegold. - In: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. - ISSN 0004-9727. - STAMPA. - 82:(2010), pp. 84-98. [10.1017/S0004972710000055]

On finite p-groups with subgroups of breadth 1

CUTOLO, GIOVANNI;
2010

Abstract

We consider finite p-groups G in which every cyclic subgroup has at most p conjugates. We show that the derived subgroup of such a group has order at most p^2. Further, if the stronger condition holds that all subgroups have at most p conjugates then the central factor group has order p^4 at most.
2010
On finite p-groups with subgroups of breadth 1 / Cutolo, Giovanni; H., Smith; J., Wiegold. - In: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. - ISSN 0004-9727. - STAMPA. - 82:(2010), pp. 84-98. [10.1017/S0004972710000055]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/378935
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