Geodesic
The decomposition theorem and ranks of central unit groups of integer group rings of groups $PGL_2(q)$, $q$ odd
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 652-672

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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. 
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     author = {R. Zh. Aleev and O. V. Mitina},
     title = {The decomposition theorem and ranks of central unit groups of integer group rings of groups  $PGL_2(q)$, $q$ odd},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {652--672},
     publisher = {mathdoc},
     volume = {5},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2008_5_a29/}
}
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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. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 652-672. http://geodesic.mathdoc.fr/item/SEMR_2008_5_a29/