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(2004 / vol.7 / no.1)
Infra-nilmanifold with Quaternionic Nil-geometry
Joonkook Shin
Pages. 31-41     



we shall study the quaternionic Heisenberg group $fH_7=NIL$ which is important
to investigate an {it almost Bieberbach group} of a 7-dimensinal infra-nilmanifold.



1. Introduction
2. The Quaternionic Heisenberg Group $bfH_7$
3. The structure of AB-groups for $bfH_7$



almost Bieberbach group, holonomy group, infra-nilmanifold



20H15, 20F18, 20E99, 53C55