We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Recognition of by its complex group algebra.
- Authors
Khosravi, Behrooz; Momen, Zahra; Khosravi, Behnam; Khosravi, Bahman
- Abstract
In [H. P. Tong-Viet, Simple classical groups of Lie type are determined by their character degrees, J. Algebra 357 (2012) 61-68] the following question arose: Question. Which groups can be uniquely determined by the structure of their complex group algebras? It is proved that every quasisimple group except covers of the alternating groups is uniquely determined up to isomorphism by the structure of , the complex group algebra of . One of the next natural groups to be considered are the characteristically simple groups. In this paper, as the first step in this investigation we prove that if is an odd prime number, then is uniquely determined by the structure of its complex group algebra.
- Subjects
GROUP algebras; ABELIAN groups; MATHEMATICS; GROUP theory; COMPLEX numbers
- Publication
Journal of Algebra & Its Applications, 2017, Vol 16, Issue 2, p-1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498817500360