Open AccessOn 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) , ring (chemistry) , generalization , group (periodic table) , prime (order theory) , mathematics , group ring , combinatorics , pure mathematics , task (project management) , matrix group , algebra over a field , physics , symmetric group , chemistry , mathematical analysis , quantum mechanics , engineering , organic chemistry , systems engineering
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.