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14 results on '"GHAFFARZADEH, MEHDI"'

1. Character degrees of extensions of the Suzuki groups $^2B_2(q^2)$

Author

Ghaffarzadeh, Mehdi

Subjects
Mathematics - Group Theory, 20C15 (Primary), 20D05 (Secondary)
Abstract

Let $S$ be a Suzuki group $^2B_2(q^2)$, where $q^2=2^{2f+1}$, $f\geqslant 1$. In this paper, we determine the degrees of the ordinary complex irreducible characters of every group $G$ such that $S\leqslant G\leqslant \Aut(S)$., Comment: 10 pages

Published
2016

6. RECOGNITION OF JANKO GROUPS AND SOME SIMPLE K4-GROUPS BY THE ORDER AND ONE IRREDUCIBLE CHARACTER DEGREE OR CHARACTER DEGREE GRAPH.

Author

BEHRAVESH, HOUSHANG, GHAFFARZADEH, MEHDI, GHASEMI, MOHSEN, and HEKMATARA, SOMAYEH

Subjects
*LINEAR orderings, *FINITE groups
Abstract

In this paper we prove that some Janko groups are uniquely determined by their orders and one irreducible character degree. Also we prove that some finite simple K4-groups are uniquely determined by their character degree graphs and their orders. [ABSTRACT FROM AUTHOR]

Published
2021
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7. Finite groups whose codegrees are almost prime.

Author

Alizadeh, Ferydoun, Ghasemi, Mohsen, and Ghaffarzadeh, Mehdi

Subjects
FINITE groups
Abstract

For a character χ of a finite group G, the number cod (χ) = | G : ker (χ) | / χ (1) is called the codegree of χ. In this paper we show that if G is nonsolvable, then the codegree graph Γ (G) has a triangle. Also by using this result we show that if G has one composite codegree, then G is solvable and | cod (G) | ≤ 5. [ABSTRACT FROM AUTHOR]

Published
2021
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13. Finite groups with three composite character degrees.

Author

Ghasemi, Mohsen and Ghaffarzadeh, Mehdi

Subjects
FINITE groups, SOLVABLE groups, FINITE simple groups, MATHEMATICS theorems, GROUP theory
Abstract

Let G be a finite group and let cd(G) be the set of all irreducible character degrees of G. We consider finite groups G with the property that cd(G) has at most three composite members. We derive a bound 8 for the size of character degree sets of such groups. [ABSTRACT FROM AUTHOR]

Published
2018
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