[PDF][PDF] A characterization of L

S Liu, Y Xie - pan, 2016 - springerplus.springeropen.com
Background In this paper all groups are finite. Let G be a finite group and let Irr (G) be the set
of all irreducible characters of G. Denote by cd (G)={χ (1): χ∈ Irr (G)} the set of character …

Recognition of the simple group PSL() by character degree graph and order

B Khosravi, B Khosravi, B Khosravi… - Monatshefte für Mathematik, 2015 - Springer
Let GG be a finite group. The character degree graph of GG, which is denoted by Γ (G) Γ (G),
is the graph whose vertices are the prime divisors of the character degrees of the group GG …

Some Extensions of PSL(2, p 2) are Uniquely Determined by Their Complex Group Algebras

B Khosravi, B Khosravi, B Khosravi - Communications in Algebra, 2015 - Taylor & Francis
In Tong-Viet's, 2012 work, the following question arose: Question. Which groups can be
uniquely determined by the structure of their complex group algebras? It is proved here that …

Some simple groups which are determined by their character degree graphs

S Heydari, N Ahanjideh - Сибирские электронные математические …, 2016 - mathnet.ru
Let 𝐺 be a finite group, and let 𝜌 (𝐺) be the set of prime divisors of the irreducible character
degrees of 𝐺. The character degree graph of 𝐺, denoted by Δ (𝐺), is a graph with vertex set …

Recognition of by its complex group algebra

B Khosravi, Z Momen, B Khosravi… - Journal of Algebra and Its …, 2017 - World Scientific
In [HP Tong-Viet, Simple classical groups of Lie type are determined by their character
degrees, J. Algebra 357 (2012) 61–68] the following question arose: Question. Which …

Recognition of the simple groups by character degree graph and order

Z Akhlaghi, M Khatami, B Khosravi - International Journal of Group …, 2019 - ijgt.ui.ac.ir
‎‎ Let $ G $ be a finite group‎,‎ and $ Irr (G) $ be the set of complex irreducible characters of $ G
$‎.‎ Let $\rho (G) $ be the set of prime divisors of character degrees of $ G $‎.‎ The character …

Recognition of Janko groups and some simple -groups by the order and one irreducible character degree or character degree graph

H Behravesh, M Ghaffarzadeh, M Ghasemi… - International Journal of …, 2021 - ijgt.ui.ac.ir
RECOGNITION OF JANKO GROUPS AND SOME SIMPLE K4-GROUPS BY THE ORDER AND
ONE IRREDUCIBLE CHARACTER DEGREE OR CHARACTER DEGREE GRAP Page 1 …

A new characterization for some extensions of PSL(2, q) for some q by some character degrees

B Khosravi, B Khosravi, B Khosravi - Proceedings-Mathematical Sciences, 2016 - Springer
Abstract In [22](Tong-Viet HP, Simple classical groups of Lie type are determined by their
character degrees, J. Algebra, 357 (2012) 61–68), the following question arose: Which …

Recognition of characteristically simple group A5 × A5 by character degree graph and order

M Khademi, B Khosravi - Czechoslovak Mathematical Journal, 2018 - Springer
The character degree graph of a finite group G is the graph whose vertices are the prime
divisors of the irreducible character degrees of G and two vertices p and q are joined by an …

A characterization of linear groups by their character degree graphs and orders

R Zhang, S Liu - Boletín de la Sociedad Matemática Mexicana, 2018 - Springer
A characterization of linear groups $$L_3(q)$$ by their character degree graphs and orders |
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