شماره ركورد كنفرانس :
4371
عنوان مقاله :
Characterization of some almost simple unitary groups by their complex group algebras
پديدآورندگان :
Shirjian Farrokh fashirjian@gmail.com Tarbiat Modares University , Iranmanesh Ali iranmanesh@modares.ac.ir Tarbiat Modares University
كليدواژه :
almost simple unitary groups , character degrees , complex group algebras
عنوان كنفرانس :
دهمين كنفرانس ملي نظريه گروه هاي ايران
چكيده فارسي :
It has been recently proved by Tong-Viet [{\it J. Algebra} {\bf 357} (2012) pp. 61-68] that non-abelian simple groups are uniquely determined by the structure of their complex group algebras. In this paper, we survey the recent improvements of Tong-Viet s result, including our recent work on extending this result to some almost simple groups of Lie type. In particular, we show that some almost simple unitary groups are uniquely determined by the structure of their complex group algebras.