R. Zh. Aleev, O. V. Mitina, “The decomposition theorem and ranks of central unit groups of integer group rings of groups $PGL_2(q)$, $q$ odd”, Sib. Èlektron. Mat. Izv., 2008, Volume 5,Pages 652

This article is cited in 2 papers

Research papers

The decomposition theorem and ranks of central unit groups of integer group rings of groups $PGL_2(q)$, $q$ odd

R. Zh. Aleev^a, O. V. Mitina^b

^a South Ural State University
^b Chelyabinsk State University

Abstract: We study central unit groups of integer group rings of groups $PGL_2(q)$, $q$ odd, prove the decomposition theorem, and find the ranks of those groups.

Keywords: group characters, central units, group rings.

UDC: 512.552.7

MSC: 16S34

Received November 10, 2008, published December 8, 2008