PERMUTABLE PRODUCT OF THESUPERSOLUBLE SUBGROUPS

Authors

  • Behnam Razzaghmaneshi Assistant Professor of mathematics

Keywords:

Supersoluble, Product groups, Finite groups

Abstract

In this paper we check the permutable product of supersoluble subgroups. And the end, we obtain sufficient conditions for permutable products of finite supersolublegroups to be supersoluble.

Author Biography

Behnam Razzaghmaneshi, Assistant Professor of mathematics

Algebra, Islamic Azad University, Talesh Branch, Talesh, Iran

References

B. Amberg, S. Franciosi, F. de Giovanni, Products of Groups, Clarendon, Oxford, 1992.

M. Asaad, A. Shaalan, On the supersolvability of finite groups, Arch. Math. 53 (1989) 318–326.

R. Baer,Classes of finite groups and their properties, Illinois J. Math. 1 (1957) 115–187.

A.Ballester-Bolinches, J. Cossey, M.C. Pedraza-Aguilera, On products of finite supersoluble groups, Comm.Algebra 29 (7) (2001) 3145–3152.

Ballester-Bolinches, M.D. PérezRamos, M.C. Pedraza-Aguilera, Totally and mutually permutable products of finite groups, in: Groups St. Andrews 1997 in Bath I, in: London Math. Soc. Lecture Note Ser., vol. 260,Cambridge University Press, Cambridge, 1999, pp. 65–68.

Carocca, p-supersolvability of factorized finite groups, Hokkaido Math. J. 21 (1992) 395–403.

B.Carocca, R. Maier, Theorems of Kegel–Wielandt type, in: Groups St. Andrews 1997 in Bath I, in: London Math. Soc. Lecture Note Ser., vol. 260, Cambridge University Press, Cambridge, 1999, pp. 195–201.

K. Doerk, T.O. Hawkes, Finite Soluble Groups, in:deGruyter Exp. Math., vol. 4, de Gruyter, Berlin, 1992.

N. Itô, Über das Produkt von zweiabelschenGruppen, Math. Z. 62 (1955) 400–401.

arocca, A. Products of Mutually f-permutable Subgroups in a Finite Group, Preprint.

riesen, D.R. Products of Normal Supersolvable Subgroups. Proc. Amer. Math. Soc. 1971, 30, 46748.

anuel J. Alejandre, Ballester-Bolinches, John Cossey, Permutable products ofsupersoluble groups, Journal of Algebra 276 (2004) 453–461.

aier, R. ZurVertauschbarkeit und Subnormalita¨ t von Untergruppen. Arch. Math. 1989, 53, 1107120.

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Published

2023-10-12

How to Cite

1.
Behnam Razzaghmaneshi. PERMUTABLE PRODUCT OF THESUPERSOLUBLE SUBGROUPS. As [Internet]. 2023Oct.12 [cited 2026May5];1(07):01-5. Available from: https://iphopen.org/index.php/As/article/view/11

Issue

Vol. 1 No. 07 (2023): IPHO-Journal of Advance Research in Applied Science

Section

Articles

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