Narain Gupta's three normal subgroup problem and group homology

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DC Field	Value	Language
dc.contributor.author	Mikhailov, R.	-
dc.contributor.author	Passi, I.B.S.	-
dc.date.accessioned	2020-11-23T04:17:48Z	-
dc.date.available	2020-11-23T04:17:48Z	-
dc.date.issued	2019	-
dc.identifier.citation	Journal of Algebra, 526,pp.243-265.	en_US
dc.identifier.other	https://doi.org/10.1016/j.jalgebra.2019.02.007	-
dc.identifier.uri	https://www.sciencedirect.com/science/article/pii/S0021869319300900	-
dc.identifier.uri	http://hdl.handle.net/123456789/2030	-
dc.description.abstract	This paper is about application of various homological methods to classical problems in the theory of group rings. It is shown that the third homology of groups plays a key role in Narain Gupta’s three normal subgroup problem. Fo r a free group Fand its normal subgroups R, S, T, and the corresponding ideals in the integral group ring Z[F], r =(R−1)Z[F], s =(S−1)Z[F], t =(T−1)Z[F], acomplete description of the normal subgroup F∩(1 +rst)is given, provided R⊆Tand the third, fourth and fifth homology groups of R/R∩Sare torsion groups.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier	en_US
dc.subject	Group ring	en_US
dc.subject	Homology of groups	en_US
dc.subject	Derived functors of non-additive functors	en_US
dc.subject	Free group ring	en_US
dc.title	Narain Gupta's three normal subgroup problem and group homology	en_US
dc.type	Article	en_US
Appears in Collections:	Research Articles

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