Abnormal,Pronormal, Contranormal,and Carter Subgroups in Some Generalized Minimax Groups |
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| Authors: | L A Kurdachenko J Otal |
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| Institution: | 1. Mathematics Department , Dnepropetrovsk University , Dnepropetrovsk, Ukraine;2. Department of Mathematics , Universidad de Zaragoza , Zaragoza, Spain |
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| Abstract: | ABSTRACT Some properties of abnormal and pronormal subgroups in generalized minimax groups are considered. For generalized minimax groups (not only periodic) whose locally nilpotent residual is nilpotent and satisfies Min-G the existence of Carter subgroups and their conjugations have been proven. Some generalizations of results of J. Rose on abnormal and contranormal subgroups have been also obtained. |
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| Keywords: | Abnormal subgroups Carter subgroups Contranormal subgroups Descendant subgroups Pronormal subgroups |
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