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

dc.creatorNovotný, Petr
dc.creatorHrivnák, Jiří
dc.date2007-10-01
dc.date.accessioned2026-07-07T08:33:19Z
dc.date.available2026-07-07T08:33:19Z
dc.descriptionWe 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.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0710.0326
dc.identifierhttp://arxiv.org/abs/0710.0326
dc.identifierActa Polytechnica Vol. 45, No. 5/2005, 41-45
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139088
dc.subjectGroup Theory
dc.subjectMathematical Physics
dc.subject13A50
dc.titleOn Orbits of the Ring $Z_n^m$ under the Action of the Group $SL(m,Z_n)$
dc.typetext

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