RECOGNITION OF THE SIMPLE GROUPS PSL2(q) BY CHARACTER DEGREE GRAPH AND ORDER

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AKHLAGHI ZEINAB; KHATAMI MARYAM; KHOSRAVI BEHROOZ

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2019 | Volume:8 | Issue:2 Page(s): 41-46

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Title

RECOGNITION OF THE SIMPLE GROUPS PSL2(q) BY CHARACTER DEGREE GRAPH AND ORDER

Author(s)

AKHLAGHI ZEINAB | KHATAMI MARYAM | KHOSRAVI BEHROOZ | Issue Writer Certificate

Keywords

character degree graph

simple group

characterization

Abstract

Let G be a finite group, and Irr(G) be the set of complex irreducible characters of G. Let (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 (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 finite group such that Δ (G) = Δ (PSL2(q)) and jGj = jPSL2(q)j, then G = PSL2(q).

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APA: Copy

AKHLAGHI, ZEINAB, KHATAMI, MARYAM, & KHOSRAVI, BEHROOZ. (2019). RECOGNITION OF THE SIMPLE GROUPS PSL2(q) BY CHARACTER DEGREE GRAPH AND ORDER. INTERNATIONAL JOURNAL OF GROUP THEORY, 8(2), 41-46. SID. https://sid.ir/paper/725333/en

Vancouver: Copy

AKHLAGHI ZEINAB, KHATAMI MARYAM, KHOSRAVI BEHROOZ. RECOGNITION OF THE SIMPLE GROUPS PSL2(q) BY CHARACTER DEGREE GRAPH AND ORDER. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2019;8(2):41-46. Available from: https://sid.ir/paper/725333/en

IEEE: Copy

ZEINAB AKHLAGHI, MARYAM KHATAMI, and BEHROOZ KHOSRAVI, “RECOGNITION OF THE SIMPLE GROUPS PSL2(q) BY CHARACTER DEGREE GRAPH AND ORDER,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 8, no. 2, pp. 41–46, 2019, [Online]. Available: https://sid.ir/paper/725333/en

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