On Orbits of the Ring Zmn under Action of the Group SL(m, Zn)

P. Novotný, J. Hrivnák

Abstract


We consider the action of the finite matrix group SL(m,Zn ) on the ring Zmn. 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.

Keywords


ring; finite group

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ISSN 1210-2709 (Print)
ISSN 1805-2363 (Online)
Published by the Czech Technical University in Prague