Results 1 to 10 of about 1,287 (264)
Irreducible Characters with Cyclic Anchor Group
Axioms, 2023 We consider G to be a finite group and p as a prime number. We fix ψ to be an irreducible character of G with its restriction to all p-regular elements of G and ψ0 to be an irreducible Brauer character.
Manal H. Algreagri, Ahmad M. Alghamdi
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Products of characters with few irreducible constituents
Journal of Algebra, 2007 We study the solvable groups $G$ that have an irreducible character $χ\in \Irr(G)$ such that $χ\barχ$ has at most two non-principal irreducible constituents.
exaly +4 more sources
The codegrees of real-valued Irreducible characters of finite groups [PDF]
ریاضی و جامعه, 2023 In this note we show that if every codegree of real-valued irreducible characters of a finite group $G$ is either a $2$-number or $2'$-number, then $G$ is ...
Zeynab Akhlaghi
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On a Maximal Subgroup 2^6:(3^. S6) of M24 [PDF]
Mathematics Interdisciplinary Research, 2022 The Mathieu group M24 has a maximal subgroup of the form G ̅=N:G, where N=26 and G=3. S6 ≅ 3. PGL2 (9). Using Atlas, we can see that M24 has only one maximal subgroup of type 26:(3. S6). The group is a split extension of an elementary abelian group, N=26
Dennis Chikopela, Thekiso Seretlo
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A Study On the Kernels of Irreducible Characters of Finite Groups
Cumhuriyet Science Journal, 2022 Let G be a finite group and χ∈Irr(G), where Irr(G) denotes the set of all irreducible characters of G. The kernel of χ is defined by ker(χ)={ g∈G ┤| χ(g)=χ(1)}, where χ(1) is the character degree of χ. The irreducible character χ of G is called as
Temha Erkoç, Burcu Çınarcı
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COMMON ZEROS OF IRREDUCIBLE CHARACTERS
Journal of the Australian Mathematical Society, 2023 AbstractWe study the zero-sharing behavior among irreducible characters of a finite group. For symmetric groups $\mathsf {S}_n$ , it is proved that, with one exception, any two irreducible characters have at least one common zero. To further explore this phenomenon, we introduce the common-zero graph of a finite group G, with nonlinear irreducible ...
NGUYEN N. HUNG +2 more
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$p$-parts of co-degrees of irreducible characters
Comptes Rendus. Mathématique, 2021 For a character $\chi $ of a finite group $G$, the co-degree of $\chi $ is $\chi ^c(1)=\frac{[G:\ker \chi ]}{\chi (1)}$. Let $p$ be a prime and let $e$ be a positive integer.
Bahramian, Roya, Ahanjideh, Neda
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Kernels of $$p'$$-Degree Irreducible Characters
Mediterranean Journal of Mathematics, 2022 We prove a p'-version of a classical theorem of Broline and Garrison. As a consequence, we obtain results on p-parts of character codegrees.
Alexander Moretó, Noelia Rizo
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On irreducible products of characters
Mathematische Nachrichten, 2021 AbstractWe are concerned with two conjectures of Isaacs, and prove several results that generalize some of the related theorems of Isaacs and of Fukushima.
Ping Jin, Yong Yang
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On the Projective Character Tables of the Maximal Subgroups of M11, M12 and Aut(M12) [PDF]
Advances in Group Theory and Applications, 2021 In this paper, the Schur multiplier and irreducible projective character tables IrrProj(G, alpha_i) with corresponding factor sets alpha_i for each maximal subgroup G of the sporadic simple Mathieu groups M11, M12 and the automorphism group Aut(M12) of ...
Abraham Love Prins
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