In this paper we illustrate recent results about factorizations of finite groups into conjugate subgroups. The illustrated results are joint works with John Cannon, Dan Levy, Attila Mar'oti and Iulian I. Simion.
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Preprint. M. Garonzi, D. Levy, A. Maroti and I. Simion Factorizations of finite groups by conjugate subgroups which are solvable or nilpotent. In preparation. G. Kaplan and D. Levy (2007). Products of subgroups which are subgroups. Comm. Algebra. 35 (5), 1517-1523 T. Breuer (2012). CTblLib, - GAP's Character Table Library package. version 1.2.1, http://www.math.rwth-aachen.de/ T homas:B r euer =ctbl l ib. T. Breuer and J. Muller GAP file tst/mferctbl.gap. a compiled database of character tables of endomorphism rings of multiplicity-free p ermutation mo dules of the sp oradic simple groups and their cyclic and bicyclic extensions. http://mathover ow.net/questions/109590/the-p owers-of-non-empty-subset-of-a-group-that-generate-a-subgroup http://mathover
ow.net/questions/109590/the-p owers-of-non-empty-subset-of-a-group-that-generate-a-subgroup.