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arXiv:0710.0326 [math.GR]AbstractReferencesReviewsResources

On Orbits of the Ring $Z_n^m$ under the Action of the Group $SL(m,Z_n)$

Petr Novotný, Jiří Hrivnák

Published 2007-10-01Version 1

We consider the action of the finite matrix group $SL(m,Z_n)$ on the ring $Z_n^m$. We determine orbits of this action for n arbitrary natural number. It is a generalization of the task which was studied by A.A. Kirillov for $m=2$ and $n$ prime number.

Comments: 9 pages
Journal: Acta Polytechnica Vol. 45, No. 5/2005, 41-45
Categories: math.GR, math-ph, math.MP
Subjects: 13A50
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