Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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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
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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.

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