A note on -solvable and solvable finite groups.
Khazal, R., Mukherjee, N.P. (1994)
International Journal of Mathematics and Mathematical Sciences
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Khazal, R., Mukherjee, N.P. (1994)
International Journal of Mathematics and Mathematical Sciences
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Dutta, T.K., Bhattacharyya, A. (1994)
International Journal of Mathematics and Mathematical Sciences
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Meena Sahai (1998)
Publicacions Matemàtiques
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In this paper, we study the situation as to when the unit group U(KG) of a group algebra KG equals K*G(1 + J(KG)), where K is a field of characteristic p > 0 and G is a finite group.
Ion Armeanu (1996)
Annales mathématiques Blaise Pascal
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Pavel Shumyatskiy (1994)
Manuscripta mathematica
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James C. Beidleman (1971)
Compositio Mathematica
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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.
J. R. Martínez Verduch (1976)
Collectanea Mathematica
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Ostrom, T.G. (1979)
International Journal of Mathematics and Mathematical Sciences
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Ahmet Arıkan, Sezgin Sezer, Howard Smith (2010)
Open Mathematics
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In the present work we consider infinite locally finite minimal non-solvable groups, and give certain characterizations. We also define generalizations of the centralizer to establish a result relevant to infinite locally finite minimal non-solvable groups.