학술저널
FREE ACTIONS ON THE NILMANIFOLD
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 10, No. 1
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1997.08161 - 175 (15 pages)
- 0
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.
Abstract
1. Introduction
2. Criteria for conjugacy
3. Free actions of finite abelian groups G on the nilmanifold
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