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- W175062541 abstract "In this work we make some contributions to the theory of actions of abelian p-groups on the n-Torus Tn. Set H ? (Zpk1)h1 × (Zpk2)h2 × ? × (Zpkr)hr, r = 1, k1 = k2 = ? = kr = 1, p prime. Suppose that the group H acts freely on Tn and the induced representation on ?1(Tn) ? Zn is faithful and has first Betti number b. We show that the numbers n, p, b, ki and hi, (i=1,?,r) satisfy some relation. In particular, when H ? (Zp)h, the minimum value of n is F(p)+b when b = 1. Also when H ? Zpk1 × Zp the minimum value of n is F(pk1)+p-1+b for b = 1. Here F denotes the Euler function." @default.
- W175062541 created "2016-06-24" @default.
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- W175062541 date "2005-01-01" @default.
- W175062541 modified "2023-09-26" @default.
- W175062541 title "Free actions of abelian p-groups on the n-torus" @default.
- W175062541 hasPublicationYear "2005" @default.
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