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Group extensions and free actions by finite groups on solvmanifolds

✍ Scribed by Jang Hyun Jo; Jong Bum Lee

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 108 KB
Volume: 283
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200710058

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The purpose of this paper is to generalize Yalçin's result [Trans. Amer. Math. Soc. 352, 2689–2700 (2000)] from tori to solvmanifolds. As a result, we prove that if (ℤ~p~)^r^ acts freely on a solvmanifold M of dimension n, then r ≤ n (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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