Title of article
RECOGNITION OF THE SIMPLE GROUPS PSL2(q) BY CHARACTER DEGREE GRAPH and ORDER
Author/Authors
AKHLAGHI, ZEINAB Faculty of Mathematics and Computer science - Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran , KHATAMI, MARYAM Faculty of Mathematics and Computer Science - Amirkabir University of Technology (Tehran Polytechnic), 15914 Tehran, Iran , KHOSRAVI, BEHROOZ Faculty of Mathematics and Computer Science - Amirkabir University of Technology (Tehran Polytechnic), 15914 Tehran, Iran
Pages
6
From page
41
To page
46
Abstract
Abstract. Let G be a nite group, and Irr(G) be the set of complex irreducible characters of G. Let
p(G) be the set of prime divisors of character degrees of G. The character degree graph of G, which is
denoted by Δ(G), is a simple graph with vertex set p(G), and we join two vertices r and s by an edge if
there exists a character degree of G divisible by rs. In this paper, we prove that if G is a nite group such
that Δ(G) = Δ(PSL2(q)) and /G/ = /PSL2(q)/, then G≅PSL2(q).
Keywords
characterization , simple group , character degree graph
Serial Year
2019
Record number
2493397
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