Corrections to my paper "Zeta functions of integral group rings of metacyclic groups"
نویسندگان
چکیده
منابع مشابه
Twisted Group Rings of Metacyclic Groups
Given a finite metacyclic group G, a central extension F having the projective lifting property over all fields is constructed. This extension and its group rings are used to investigate the faithful irreducible projective representations of G and the fields over which they can be realized. A full description of the finite metacyclic groups having central simple twisted group rings over fields ...
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Let A be an Ä-order in a semisimple finite dimensional /(-algebra, where K is an algebraic number field, and R is the ring of algebraic integers of K. Denote by C(A) the reduced class group of the category of locally free left A-lattices. Choose A= ZC, the integral group ring of a finite group G, and let A be a maximal Z-order in QG containing A. There is an epimorphism C(A)-C(A'), given by JIÍ...
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This thesis is concerned with Hilbert functions of ideals of finite group orbits, focusing in particular on abelian and metacyclic groups. Conjecture 16 in Section 4 characterizes the Hilbert functions that arise from two-dimensional representations of certain abelian groups, and a proof of the necessity of its conditions is provided. In Section 6, Proposition 18 gives a bound for the Hilbert f...
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I survey some recent developments in the theory of zeta functions associated to infinite groups and rings, specifically zeta functions enumerating subgroups and subrings of finite index or finite-dimensional complex representations. 1. About these notes Over the last few decades, zeta functions have become important tools in various areas of asymptotic group and ring theory. With the first pape...
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ژورنال
عنوان ژورنال: Tsukuba Journal of Mathematics
سال: 1985
ISSN: 0387-4982
DOI: 10.21099/tkbjm/1496160297