On a class of groups of prime-power order |
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Authors: | J. W. Wamsley |
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Affiliation: | (1) School of Mathematics, The Flinders University South Australia, Bedford Park |
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Abstract: | LetG be a finitep-group,d(G)=dimH 1 (G, Z p) andr(G)=dimH 2(G, Zp). Thend(G) is the minimal number of generators ofG, and we say thatG is a member of a classG p of finitep-groups ifG has a presentation withd(G) generators andr(G) relations. We show that ifG is any finitep-group, thenG is the direct factor of a member ofG p by a member ofG p . |
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