TY - JOUR
T1 - Torsion units in the integral group ring of the alternating group of degree 6
AU - Salim, Mohamed Ahmed M.
N1 - Funding Information:
Thanks to V. Bovdi and A. Konovalov for their great help in doing LAGUNA. The article was supported by UAEU Research Support Program for UAE Faculties.
PY - 2007/12
Y1 - 2007/12
N2 - It was conjectured by H. Zassenhaus that a torsion unit of an integral group ring G of a finite group G conjugates to a group element within the rational group algebra G. We investigate the Zassenhaus Conjecture (ZC) and a conjecture by W. Kimmerle about prime graph in the normalized unit group of A6.
AB - It was conjectured by H. Zassenhaus that a torsion unit of an integral group ring G of a finite group G conjugates to a group element within the rational group algebra G. We investigate the Zassenhaus Conjecture (ZC) and a conjecture by W. Kimmerle about prime graph in the normalized unit group of A6.
KW - Alternating groups
KW - Group of units
KW - Integral group rings
KW - Kimmerle's conjecture
KW - Zassenhaus conjecture
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U2 - 10.1080/00927870701545069
DO - 10.1080/00927870701545069
M3 - Article
AN - SCOPUS:37349113862
SN - 0092-7872
VL - 35
SP - 4198
EP - 4204
JO - Communications in Algebra
JF - Communications in Algebra
IS - 12
ER -