Recognition of M × M by Its Complex Group Algebra Where M Is a Simple K 3 -Group

Morteza Baniasad Azad and Behrooz Khosravi
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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

Mathematics, 2018, vol. 6, issue 7, 1-7

Abstract: In this paper we prove that if M is a simple K 3 -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.

Keywords: character degree; order; complex group algebra (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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