Subgroups of powerful groups |
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Authors: | Avinoam Mann Fania Posnick-Fradkin |
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Affiliation: | (1) Institute of Mathematics, The Hebrew University of Jerusalem Givat Ram, 91904 Jerusalem, Israel |
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Abstract: | We consider subgroups of powerfulp-groups. In particular, we give a new proof that allp-groups are sections of powerfulp-groups, give necessary and sufficient conditions for a 2-generator group to be a normal subgroup of a powerfulp-groups, and show thatp-groups of class 2, orp-groups with a cyclic commutator subgroup, are such normal subgroups. |
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