Some criteria for supersolubility in products
of finite groups

doi:10.1007/s11464-008-0007-z

Front. Math. China

2008, Vol. 3

Issue (1) : 79-86 https://doi.org/10.1007/s11464-008-0007-z

Some criteria for supersolubility in products of finite groups

LIU Xi¹, LI Baojun², YI Xiaolan³

1.Department of Mathematics, Xuzhou Normal University; 2.Department of Mathematics, University of Science and Technology of China; 3.Department of Mathematics, Gomel State University

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Abstract Let H and T be subgroups of a finite group G. H is said to be permutable with T in G if HT = TH. In this paper, we use the concept of permutable subgroups to give two new criterions of supersolubility of the product G = AB of finite supersoluble groups A and B.

Issue Date: 05 March 2008

Cite this article:

LIU Xi,LI Baojun,YI Xiaolan. Some criteria for supersolubility in products of finite groups[J]. Front. Math. China, 2008, 3(1): 79-86.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-008-0007-z
https://academic.hep.com.cn/fmc/EN/Y2008/V3/I1/79

1	Alejandre M Ballester-Bolinches A Cossey J Permutable products of supersoluble groupsJ Algebra 2004 276453461. doi:10.1016/j.jalgebra.2003.01.002
2	Asaad M Shaalan A On the supersolvability offinite groupsArch Math 1989 53318326. doi:10.1007/BF01195210
3	Baer R Classesof finite groups and their propertiesIllinoisJ Math 1957 1115187
4	Ballester-Bolinches A Cossey J Pedraza-Aguilera M C On products of finite supersoluble groupsCom Algebra 2001 29(7)31453152. doi:10.1081/AGB‐100105013
5	Ballester-Bolinches A Perez-Ramos M D Pedraza-Aguilera M C Mutually permutable products of finitegroupsJ Algebra 1999 213369377. doi:10.1006/jabr.1998.7653
6	Cunihin S A Simplicitéde groupe fini et les ordres da ses classes d'élémentsconjuguésComptes Rendus Acad SciParis 1930 191397399
7	Friesen D Productsof normal supersoluble subgroupsProc AmerMath Soc 1971 304648. doi:10.2307/2038217
8	Guo W TheTheory of Classes of GroupsBeijing,New York, Dordrecht, Boston, LondonScience Press-Kluwer Academic Publishers 2000
9	Guo W Shum K P Skiba A Criterions of supersolubility for products of supersolublegroupsPubl Math Debrecen 2006 68(3–4)433449
10	Hauck P Martinez-Pastor A Perez-Ramos M D Fitting classes and products of totally permutable groupsJ Algebra 2002 252114126. doi:10.1016/S0021‐8693(02)00012‐1
11	Huppert B EndlicheGruppen IBerlin, Heidelberg, New YorkSpringer-Verlag 1967
12	Liu X Shi L Yang N Permutable products of finite supersoluble groupsJ Xuzhou Normal University 2008 26(1)(in press)
13	Weinstein M BetweenNilpotent and SolvablePassaicPolygonal Publishing House 1982

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