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

Petr Novotný | Zendy; Jiří Hrivnák | Zendy

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

Author(s) -

Petr Novotný,

Jiří Hrivnák

Publication year - 2005

Publication title -

acta polytechnica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.207

H-Index - 15

eISSN - 1805-2363

pISSN - 1210-2709

DOI - 10.14311/768

Subject(s) - action (physics) , group (periodic table) , ring (chemistry) , generalization , prime (order theory) , mathematics , combinatorics , group ring , pure mathematics , task (project management) , matrix group , physics , chemistry , symmetric group , mathematical analysis , quantum mechanics , engineering , systems engineering , organic chemistry

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.

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