NONABELIAN GROUP ACTIONS ON 3-DIMENSIONAL NILMANIFOLDS REVERSING FIBER ORIENTATION

Abstract

We study free actions of finite nonabelian groups on 3-dimensional nilmanifolds with the first homology Z2 (cid:8) Z2 which yield an orbit manifold reversing fiber orientation, up to topological conjugacy. We show that those nonabelian groups are D4(the dihedral group), Q8(the quaternion group), and C8:C4(the 1st non-split extension by C8 of C4 acting via C4=C2 = C2).

This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.