Central units of integral group rings of monomial groups.

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DC Field	Value	Language
dc.contributor.author	Kaur, Gurleen	-
dc.date.accessioned	2023-08-29T09:09:17Z	-
dc.date.available	2023-08-29T09:09:17Z	-
dc.date.issued	2022	-
dc.identifier.citation	Proceedings of the American Mathematical Society, 150(8), 3357-3368.	en_US
dc.identifier.uri	https://doi.org/10.1090/proc/15975	-
dc.identifier.uri	http://hdl.handle.net/123456789/5230	-
dc.description	Only IISER Mohali authors are available in the record.	en_US
dc.description.abstract	In this paper, it is proved that the group generated by Bass units contains a subgroup of finite index in the group of central units Z(U(ZG)) of the integral group ring ZG for a subgroup closed monomial group G with the property that every cyclic subgroup of order not a divisor of 4 or 6 is subnormal in G. If G is a generalized strongly monomial group, then it is also shown that the group generated by generalized Bass units contains a subgroup of finite index in Z(U(ZG)). Furthermore, for a generalized strongly monomial group G, the rank of Z(U(ZG)) is determined. The formula so obtained is in terms of generalized strong Shoda pairs of G.	en_US
dc.language.iso	en_US	en_US
dc.publisher	American Mathematical Society	en_US
dc.subject	Monomial groups	en_US
dc.subject	Integral group rings	en_US
dc.title	Central units of integral group rings of monomial groups.	en_US
dc.type	Article	en_US
Appears in Collections:	Research Articles

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