Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 50, No. 2, pp. 533-540 (2009)
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Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 50, No. 2, pp. 533-540 (2009) |
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Three remarks on absolutely solvable groupsPéter P. PálfyAlfréd Rényi Institute of Mathematics and Eötvös University, H--1364 Budapest, P.O.Box 127, Hungary, e-mail: ppp{@}renyi.huAbstract: First, we characterize finite groups that are not absolutely solvable, but every proper subgroup of them is absolutely solvable. Second, we show that every hereditary absolutely solvable group of odd order is an M-group. Third, we exhibit examples of groups which are not absolutely solvable, although they can be written as a product of two absolutely solvable normal subgroups. Keywords: solvable group, chief series, absolutely irreducible representation, M-group, Fitting class Classification (MSC2000): 20D10 Full text of the article:
Electronic version published on: 28 Aug 2009. This page was last modified: 28 Jan 2013.
© 2009 Heldermann Verlag
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