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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J. Grabowski, M. M. Sysło (1975)
Applicationes Mathematicae
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Burkhard Külshammer (1990)
Journal für die reine und angewandte Mathematik
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Homer Bechtell (1972)
Rendiconti del Seminario Matematico della Università di Padova
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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.
John D. Dixon (1968)
Mathematische Zeitschrift
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Jack Shamash (1969)
Mathematische Zeitschrift
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Srinivasan, S. (1990)
International Journal of Mathematics and Mathematical Sciences
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James C. Beidleman (1971)
Compositio Mathematica
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Ostrom, T.G. (1979)
International Journal of Mathematics and Mathematical Sciences
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James Beidleman, Mathew Ragland (2012)
Open Mathematics
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The original version of the article was published in Central European Journal of Mathematics, 2011, 9(4), 915–921, DOI: 10.2478/s11533-011-0029-8. Unfortunately, the original version of this article contains a mistake: Lemma 2.1 (2) is not true. We correct Lemma 2.2 (2) and Theorem 1.1 in our paper where this lemma was used.
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.