Integral Group Rings with Nilpotent Unit Groups
نویسندگان
چکیده
منابع مشابه
Central Units of Integral Group Rings of Nilpotent Groups
In this paper a finite set of generators is given for a subgroup of finite index in the group of central units of the integral group ring of a finitely generated nilpotent group. In this paper we construct explicitly a finite set of generators for a subgroup of finite index in the centre Z(U(ZG)) of the unit group U(ZG) of the integral group ring ZG of a finitely generated nilpotent group G. Ri...
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If ∗ : G → G is an involution on the finite group G, then ∗ extends to an involution on the integral group ring Z[G]. In this paper, we consider whether bicyclic units u ∈ Z[G] exist with the property that the group 〈u, u∗〉, generated by u and u∗, is free on the two generators. If this occurs, we say that (u, u∗) is a free bicyclic pair. It turns out that the existence of u depends strongly upo...
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 1976
ISSN: 0008-414X,1496-4279
DOI: 10.4153/cjm-1976-092-4