Groups in which the hypercentral factor group is a T-group |
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| Authors: | James C Beidleman Hermann Heineken |
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| Institution: | 1. Department of mathematics, University of Kentucky, Lexington, Kentucky 40506-0027, U.S.A.
2. Mathematisches Institut, Universit?t Würzburg, Am Hubland, 97074 Würzburg, Germany
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| Abstract: | Abstract We consider groups G having a T - group as factor G/Z*(G) and exhibit connections with its Frattini subgroup and its nilpotemt radical.Mutually permutable products of these groups
with supersolvable ones are described with consequences concerning the Fitting core of supesolvable groups.
Keywords: Hypercenter, T-group, Fitting core
Mathematics Subject Classification (2000): 20D25, 20D40, 20D10 |
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