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

P. Novotný; J. Hrivnák

doi:10.14311/768

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

Authors

P. Novotný
J. Hrivnák

DOI:

https://doi.org/10.14311/768

Keywords:

ring, finite group

Abstract

We consider the action of the finite matrix group SL(m,Z_n ) on the ring Z^m_n. 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.

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Published

2005-01-05

Issue

Vol. 45 No. 5 (2005)

Section

Articles

How to Cite

Novotný, P., & Hrivnák, J. (2005). On Orbits of the Ring Zmn under Action of the Group SL(m, Zn). Acta Polytechnica, 45(5). https://doi.org/10.14311/768