On the computation of the order of Janko’s first simple group $\mathfrak {F}_1$

Herbert Dietzsch

Displaying similar documents to “On the computation of the order of Janko’s first simple group $𝔉_{1}$ ”

On zeros of characters of finite groups

Jinshan Zhang, Zhencai Shen, Dandan Liu (2010)

Czechoslovak Mathematical Journal

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For a finite group $G$ and a non-linear irreducible complex character $χ$ of $G$ write $υ (χ) = {g \in G ∣ χ (g) = 0}$ . In this paper, we study the finite non-solvable groups $G$ such that $υ (χ)$ consists of at most two conjugacy classes for all but one of the non-linear irreducible characters $χ$ of $G$ . In particular, we characterize a class of finite solvable groups which are closely related to the above-mentioned question and are called solvable $ϕ$ -groups. As a corollary, we answer Research Problem $2$ in [Y. Berkovich and L. Kazarin:...

Characters and the generalized Fitting subgroup

Gabriel Navarro (1988)

Rendiconti del Seminario Matematico della Università di Padova

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A note on finite groups with few values in a column of the character table

Mariagrazia Bianchi, David Chillag, Emanuele Pacifici (2006)

Rendiconti del Seminario Matematico della Università di Padova

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Irreducible characters of a Sylow p-subgroup of the orthogonal group.

Martin Marjoram (1997)

Extracta Mathematicae

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Finite groups with eight non-linear irreducible characters

Yakov Berkovich (1994)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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This Note contains the complete list of finite groups, having exactly eight non-linear irreducible characters. In section 4 we consider in full details some typical cases.

Huppert’s conjecture for $F i_{23}$

S. H. Alavi, A. Daneshkah, H. P. Tong-Viet, T. P. Wakefield (2011)

Rendiconti del Seminario Matematico della Università di Padova

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Displaying similar documents to “On the computation of the order of Janko’s first simple group 𝔉 1 ”

On zeros of characters of finite groups

Characters and the generalized Fitting subgroup

A note on finite groups with few values in a column of the character table

Irreducible characters of a Sylow p-subgroup of the orthogonal group.

Finite groups with eight non-linear irreducible characters

Huppert’s conjecture for F i 23

Displaying similar documents to “On the computation of the order of Janko’s first simple group $𝔉_{1}$ ”

Huppert’s conjecture for $F i_{23}$