A characterization of L(3)(4) by its character degree graph and order

Let G be a finite group. The character degree graph [Formula: see text] of G is the graph whose vertices are the prime divisors of character degrees of G and two vertices p and q are joined by an edge if pq divides the character degree of G. Let [Formula: see text] be the projective special linear g...

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Detalles Bibliográficos
Autores principales: Liu, Shitian, Xie, Yunxia
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4771690/
https://www.ncbi.nlm.nih.gov/pubmed/27026936
http://dx.doi.org/10.1186/s40064-016-1785-5
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author Liu, Shitian
Xie, Yunxia
author_facet Liu, Shitian
Xie, Yunxia
author_sort Liu, Shitian
collection PubMed
description Let G be a finite group. The character degree graph [Formula: see text] of G is the graph whose vertices are the prime divisors of character degrees of G and two vertices p and q are joined by an edge if pq divides the character degree of G. Let [Formula: see text] be the projective special linear group of degree n over a finite field of order q. Khosravi et. al. have shown that the simple groups [Formula: see text] , and [Formula: see text] where [Formula: see text] are characterizable by the degree graphs and their orders. In this paper, we give a characterization of [Formula: see text] by using the character degree graph and its order.
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spelling pubmed-47716902016-03-29 A characterization of L(3)(4) by its character degree graph and order Liu, Shitian Xie, Yunxia Springerplus Research Let G be a finite group. The character degree graph [Formula: see text] of G is the graph whose vertices are the prime divisors of character degrees of G and two vertices p and q are joined by an edge if pq divides the character degree of G. Let [Formula: see text] be the projective special linear group of degree n over a finite field of order q. Khosravi et. al. have shown that the simple groups [Formula: see text] , and [Formula: see text] where [Formula: see text] are characterizable by the degree graphs and their orders. In this paper, we give a characterization of [Formula: see text] by using the character degree graph and its order. Springer International Publishing 2016-03-01 /pmc/articles/PMC4771690/ /pubmed/27026936 http://dx.doi.org/10.1186/s40064-016-1785-5 Text en © Liu and Xie. 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Liu, Shitian
Xie, Yunxia
A characterization of L(3)(4) by its character degree graph and order
title A characterization of L(3)(4) by its character degree graph and order
title_full A characterization of L(3)(4) by its character degree graph and order
title_fullStr A characterization of L(3)(4) by its character degree graph and order
title_full_unstemmed A characterization of L(3)(4) by its character degree graph and order
title_short A characterization of L(3)(4) by its character degree graph and order
title_sort characterization of l(3)(4) by its character degree graph and order
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4771690/
https://www.ncbi.nlm.nih.gov/pubmed/27026936
http://dx.doi.org/10.1186/s40064-016-1785-5
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