$FC$-nilpotent groups and a Frattini-like subgroup

Given a class $X$ of finite groups and a finite group $G$ , the authors study the subgroup $X (G)$ intersection of maximal subgroups that do not belong to $X$ .

On self-centralizing Sylow subgroups of order four

Rolf Brandl, Valeria Fedri, Luigi Serena (1996)

Rendiconti del Seminario Matematico della Università di Padova

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6-BFC groups

Cliff David, James Wiegold (2006)

Rendiconti del Seminario Matematico della Università di Padova

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Generating wreath products and their augmentation ideals

Andrea Lucchini (1997)

Rendiconti del Seminario Matematico della Università di Padova

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Classification of solvable groups possessing a unique nonlinear non-faithful irreducible character

Amin Saeidi (2014)

Open Mathematics

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In this note, we study finite groups possessing exactly one nonlinear non-faithful irreducible character. Our main result is to classify solvable groups that satisfy this property. Also, we give examples to show that these groups need not to be solvable in general.

Finite groups admitting some coprime operator groups

Enrico Jabara (2006)

Matematički Vesnik

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Displaying similar documents to “ F C -nilpotent groups and a Frattini-like subgroup”

Displaying similar documents to “ $F C$ -nilpotent groups and a Frattini-like subgroup”