Abstract
In the first section some functorial propeties of the non-abelian tensor product of groups are established. With the use of the non-abelian left derived functors [44,62] the homology groups of groups are constructed with coefficients in any group, as the left derived functors of the non-abelian tensor product, which generalize the classical theory of homology of groups. Exact sequences of the non-abelian homology groups and their application to algebraic K-theory of noncommutative local rings are given. Some sufficient conditions for the finiteness of the non-abelian tensor product of groups with non compatible actions are established, generalizing Ellis result [25]. These results are obtained by N.Inassaridze [51,52].
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
