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Conjugate factorizations of finite groups | ||
International Journal of Group Theory | ||
مقاله 7، دوره 4، شماره 2، شهریور 2015، صفحه 69-78 اصل مقاله (206.22 K) | ||
نوع مقاله: Ischia Group Theory 2014 | ||
شناسه دیجیتال (DOI): 10.22108/ijgt.2015.9931 | ||
نویسنده | ||
Martino Garonzi* | ||
University of Brasilia | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
subgroup factorizations؛ double cosets؛ simple groups | ||
مراجع | ||
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P. J. Cameron (1999) Permutation Groups London Mathematical So ciety Student Texts 45, Cambridge University Press, Cambridge
M. Garonzi and D. Levy (2014) Factorizing a finite group into conjugates of a subgroup J. Algebra 418, 129-141
J. Cannon, M. Garonzi, D. Levy, A. Maroti and I. Simion Groups equal to a product of three conjugates subgroups,
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
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