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FREE ACTIONS OF FINITE GROUPS ON 3-DIMENSIONAL NILMANIFOLDS WITH HOMOTOPICALLY TRIVIAL TRANSLATIONS
구대환,박은미,신준국 충청수학회 2020 충청수학회지 Vol.33 No.1
We show that if a finite group $G$ acts freely with homotopically trivial translations on a 3-dimensional nilmanifold $\caln_p$ with the first homology $\bz^2\oplus \bz_p$, then either $G$ is cyclic or there exist finite nonabelian groups acting freely on $\caln_p$ which yield orbit manifolds homeomorphic to $\caln/$$\pi_3$ or $\caln/$$\pi_4$.