충청수학회지 (Journal of the Chungcheong Mathematical Society)
- 제10권1호
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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)
- 투고 : 1997.06.30
- 발행 : 1997.07.31
초록
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.