Factorization of groups involving symmetric and alternating groups

Darafsheh, M. R.; Rezaeezadeh, G. R.

doi:https://doi.org/10.1155/S0161171201010754

International Journal of Mathematics and Mathematical Sciences

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Volume 27 |Article ID 461380 | https://doi.org/10.1155/S0161171201010754

M. R. Darafsheh, G. R. Rezaeezadeh, "Factorization of groups involving symmetric and alternating groups", International Journal of Mathematics and Mathematical Sciences, vol. 27, Article ID 461380, 7 pages, 2001. https://doi.org/10.1155/S0161171201010754

Factorization of groups involving symmetric and alternating groups

M. R. Darafsheh^1,2 and G. R. Rezaeezadeh³

¹Center for Theoretical Physics and Mathematics, AEOI, P.O. Box 11365-8486, Iran

²Department of Mathematics and Computer Sciences, Faculty of Sciences, University of Tehran, Iran

³Department of Mathematics, Faculty of Basic Sciences, University of Tarbiat Moddares, Iran

Received16 Aug 2000

Revised28 Sep 2000

Abstract

We obtain the structure of finite groups of the form G=AB where B is a group isomorphic to the symmetric group on n letters Sn, n≥5 and A is a group isomorphic to the alternating group on 6 letters.

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Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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