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Soluble Groups with Few Non-Baer Subgroups |
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| Authors: | |
| Institution: | (1) Institute of Mathematics, Crakow University of Technology, Warszawska 24, Crakow, 31155, Poland;(2) Department of Algebra and Topology, Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, University St 1, Lviv, 79000, Ukraine |
| Abstract: | Abstract We characterize non-finitely generated soluble groups with the maximal condition on non-Baer subgroups and prove that a non-Baer soluble group is a Černikov group or it has an infinite properly descending series of non-Baer subgroups. |
| Keywords: | Baer group Minimal non-Baer group Maximal condition Minimal condition Soluble group |
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