Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 14 Issue 2
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- Pages.27-35
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- 2001
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
FREE CYCLIC ACTIONS OF THE 3-DIMENSIONAL NILMANIFOLD
- Shin, Joonkook (Department Of Mathematics Chungnam National University) ;
- Goo, Daehwan (Department Of Mathematics Chungnam National University) ;
- Park, Eunmi (Department Of Mathematics Chungnam National University)
- Received : 2001.12.10
- Published : 2001.12.31
Abstract
We shall deal with ten cases out of 15 distinct almost Bieberbach groups up to Seifert local invariant. In those cases we will show that if G is a finite abelian group acting freely on the standard nilmanifold, then G is cyclic, up to topological conjugacy.