The Generalization of the Stallings Theorem
Department of Mathematics, Yazd Branch, Islamic Azad University, Yazd, Iran
- Corresponding Author:
- Onsory A
Department of Mathematics
Yazd Branch, Islamic Azad
University, Yazd, Iran
E-mail: [email protected]
- Araskhan M
Department of Mathematics, Yazd
Branch Islamic Azad University, Yazd, Iran
E-mail: [email protected] iauyazd.ac.ir
Received date: November 28, 2015; Accepted date: December 21, 2015; Published date: December 23, 2015
Citation: Onsory A, Araskhan M (2015) The Generalization of the Stalling’s Theorem. J Generalized Lie Theory Appl S2:003. doi:10.4172/generalized-theory-applications.S2-003
Copyright: © 2015 Onsory A, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
In this paper, we present a relative version of the concept of lower marginal series and give some isomorphisms among ïÃ¯Â¿Â½Ã¯Â¿Â½G-marginal factor groups. Also, we conclude a generalized version of the Stalling’s theorem. Finally, we present a sufficient condition under which the order of the generalized Baer-invariant of a pair of finite groups divides the order of the generalized Baer-invariant of its factor groups.