Classification of free actions of finite groups on the 3-torus
Classifying free actions of finite groups on the 3-torus, up to topological conjugacy, is reduced to classifying all normal free Abelian subgroups of affine Bieberbach groups with finite quotients, up to affine conjugacy. In this paper, the authors give a complete classification of such groups using Lee-Shin-Yokura's method [\textit{K. B. Lee, J. Shin} and \textit{S. Yokura}, ibid. 53, No. 2, 153-175 (1993; Zbl 0817.57029)]. Some cases were worked out in detail in this paper and the other cases were stated only. The authors work out the other cases in detail in part II [JP J. Geom. Topol. 1, No. 1, 111-133 (2001; Zbl 1001.57034), see above].
scientific article; zbMATH DE number 1787539