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Complete group of central units in some group rings over Z and Z[θp]

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Author(s):
Garcia, Vitor Araujo ; Ferraz, Raul Antonio
Total Authors: 2
Document type: Journal article
Source: COMMUNICATIONS IN ALGEBRA; v. 52, n. 12, p. 12-pg., 2024-07-10.
Abstract

In the present work, we contribute with new results that enabled us to give an explicit description of the groups of central units of integral group rings and group rings with coefficients in Z[theta], for certain groups G, where theta is a p- primitive root of unity and p is a prime number. In particular, we find a set of generators for the case where G is the Heisenberg Group. (AU)

FAPESP's process: 20/16594-0 - Non commutative rings and applications
Grantee:Francisco Cesar Polcino Milies
Support Opportunities: Research Projects - Thematic Grants