Mikhailov, Roman ; Passi, Inder Bir S. (2006) Faithfulness of certain modules and residual nilpotence of groups International Journal of Algebra and Computation, 16 (3). pp. 525-539. ISSN 0218-1967
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Official URL: http://www.worldscinet.com/ijac/16/1603/S021819670...
Related URL: http://dx.doi.org/10.1142/S0218196706003062
Abstract
Let F be a non-cyclic free group and R, S its normal subgroups. We study the abelian group H∩S/[H,S], , viewed as a module over F/RS, via conjugation in F, and residual nilpotence of the group F/[R, S]. An application to the asphericity of finite presentations is given.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to World Scientific Publishing Company. |
| Keywords: | Group Rings; Relation Module; Second Homotopy Module; Faithfulness |
| ID Code: | 56777 |
| Deposited On: | 25 Aug 2011 10:04 |
| Last Modified: | 25 Aug 2011 10:04 |
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