Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 10 Issue 1
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- Pages.161-175
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- 1997
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
FREE ACTIONS ON THE NILMANIFOLD
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Shin, Joonkook
(DEPARTMENT OF MATHEMATICS CHUNGNAM NATIONAL UNIVERSITY)
- Received : 1997.06.30
- Published : 1997.07.31
Abstract
We classify free actions of finite abelian groups on the 3-dimensional nilmanifold, up to topological conjugacy. By the works of Bieberbach and Waldhausen, this classification problem is reduced to classifying all normal subgroups of almost Bieberbach groups of finite index, up to affine conjugacy.