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Two theorems on imbeddings of 0-dimensional groups

✍ Scribed by I. V. Protasov

Book ID: 112472193
Publisher: Springer
Year: 1994
Tongue: English
Weight: 267 KB
Volume: 46
Category: Article
ISSN: 0041-5995
DOI: 10.1007/bf01058898

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Let S=(a 1 , a 2 , ..., a 2n&1 ) be a sequence of 2n&1 elements in an Abelian group G of order n (written additively). For a # G, let r(S, a) be the number of subsequences of length exactly n whose sum is a. Erdo s et al. [1] proved that r(S, 0) 1. In [2], Mann proved that if n (=p) is a prime, then