Fitting cores and supersolvable groups |
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Authors: | James C Beidleman Hermann Heineken |
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Institution: | 1.Department of Mathematics,University of Kentucky,Lexington,USA;2.Institut für Mathematik,Universit?t Würzburg,Würzburg,Germany |
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Abstract: | Let A be a group. What can be said about the group B to ensure that A and the normal product AB belong to the same prescribed class of groups? Results in this direction are given for the classes of supersolvable groups, absolutely solvable groups and Lagrange groups. |
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