Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Farrokh Shirjian"'
Publikováno v:
Rendiconti del Circolo Matematico di Palermo Series 2.
Publikováno v:
Mediterranean Journal of Mathematics. 19
Publikováno v:
Communications in Algebra. 49:2538-2546
Let G be a finite group and let cd(G) be the set of degrees of complex irreducible characters of G. An important program in character theory is to obtain the structure of G when cd(G) is known. In ...
Publikováno v:
Bulletin of the Australian Mathematical Society. 103:475-485
A finite group whose irreducible complex characters are rational-valued is called a rational group. The aim of this paper is to determine the rational almost simple and rational quasi-simple groups.
Publikováno v:
Czechoslovak Mathematical Journal. 70:743-755
Let G be a finite group and let N(G) denote the set of conjugacy class sizes of G. Thompson’s conjecture states that if G is a centerless group and S is a non-abelian simple group satisfying N(G) = N(S), then G ≅ S. In this paper, we investigate
Publikováno v:
Communications in Algebra. 48:1919-1940
The aim of this article is to contribute to a question of R. Brauer that “when do non-isomorphic groups have isomorphic complex group algebras?” Let H and G be finite groups where PSUn(q)≤G≤PGUn(q)...
Autor:
Farrokh Shirjian, Ali Iranmanesh
Publikováno v:
Illinois J. Math. 64, no. 1 (2020), 49-69
Let $G$ be a finite group and $\mathrm{cd}(G)$ be the set of all irreducible complex character degrees of $G$ without multiplicities. The aim of this paper is to propose an extension of Huppert’s conjecture from non-Abelian simple groups to almost
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e14cb5f3b88f13331309d457a2371623
https://projecteuclid.org/euclid.ijm/1583463697
https://projecteuclid.org/euclid.ijm/1583463697
Autor:
Ali Iranmanesh, Farrokh Shirjian
Publikováno v:
Communications in Algebra. 46:552-573
Let H be a finite group, n≥3, and q be a prime power such that q−1 divides neither n nor n−1. Denote by X1(H) the first column of the ordinary character table of H. Let G be a finite group such tha...
Autor:
Ali Iranmanesh, Farrokh Shirjian
Publikováno v:
Czechoslovak Mathematical Journal. 67:819-826
Let G be a finite group. Let X 1(G) be the first column of the ordinary character table of G. We will show that if X 1(G) = X1(PGU3(q 2)), then G ≅ PGU3(q 2). As a consequence, we show that the projective general unitary groups PGU3(q 2) are unique
Publikováno v:
Journal of Algebra and Its Applications. 20:2150139
In this paper, the non-abelian simple groups having at most 20 distinct irreducible character degrees are classified.