Recognition of M × M by Its Complex Group Algebra Where M Is a Simple K3-Group
Morteza Baniasad Azad,
Behrooz Khosravi
Affiliations
Morteza Baniasad Azad
Department of Pure Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424, Hafez Ave., Tehran 15914, Iran
Behrooz Khosravi
Department of Pure Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424, Hafez Ave., Tehran 15914, Iran
In this paper we prove that if M is a simple K3-group, then M×M is uniquely determined by its order and some information on irreducible character degrees and as a consequence of our results we show that M×M is uniquely determined by the structure of its complex group algebra.
