On finite products of soluble groups |
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| Authors: | Bernhard Amberg Lev S. Kazarin |
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| Affiliation: | 1. Fachbereich Mathematik der Universit?t Mainz, D-55099, Mainz, Germany
2. Department of Mathematics, Yaroslavl State University, 150000, Yaroslavl, Russia
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| Abstract: | Let the finite groupG =AB be the product of two soluble subgroupsA andB, and letπ be a set of primes. We investigate under which conditions for the maximal normalπ-subgroups ofA, B andG the following holds:O π (G) ∩O π (G) ⊆O π (G). The second author would like to thank the Department of Mathematics of the University of Mainz and the Mathematische Forschungsinstitut Oberwolfach for their excellent hospitality during the preparation of this paper. |
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