Affiliation:
1. Department of Mathematics Faculty of Mathematical Sciences Shahrekord University Shahr-e Kord , Iran
Abstract
Abstract
For a natural number n and the prime p, let L be an almost simple group with the socle PSL(2,p
n
) such that p does not divide [L: PSL(2,p
n
)]. In this paper, we prove that L is uniquely determined by the first column of its character table. In particular, this implies that L is uniquely determined by the structure of its complex group algebra.
Reference10 articles.
1. Berkovich, Y.—Zhmud, E.: Characters of Finite Groups, Part 1. Transl. Math. Monogr., Vol. 172, Amer. Math. Soc., 1997.
2. Heydari, S.—Ahanjideh, N.: A characterization of PGL(2, pn) by some irreducible complex character degrees, Publications de l’Institut Mathematique, 99 (2016), 257–264.
3. Heydari, S.—Ahanjideh, N.: Characterization of some simple K4-groups by some irreducible complex character degrees, Int. J. Group theory, 5 (2016), 61–74.
4. Huppert, B.: Character Theory of Finite Groups, de Gruyter, Berlin/New York, 1998.
5. Huppert, B.: Some simple groups which are determined by the set of their character degrees (I), Illinois J. Math. 44 (2000), 828–842.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献