Appendix to the paper “Some uniserial representations of certain special linear groups” by P. Sin and J.G. Thompson
نویسندگان
چکیده
منابع مشابه
Some Uniserial Representations of Certain Special Linear Groups
In an earlier paper a construction was given for an infinite-dimensional uniserial module over Q for SL(2,Z) whose composition factors are all isomorphic to the standard (two-dimensional) module. In this note we consider generalizations of this construction to other composition factors and to other rings of algebraic integers.
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Let $G$ be a finite group. The degree pattern of $G$ denoted by $D(G)$ is defined as follows: If $pi(G)={p_{1},p_{2},...,p_{k}}$ such that $p_{1}
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توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولFinite Factor Representations of Higman-Thompson groups
We prove that the only finite factor-representations of the HigmanThompson groups {Fn,r}, {Gn,r} are the regular representations and scalar representations arising from group abelianizations. As a corollary, we obtain that any measure-preserving ergodic action of a simple Higman-Thompson group must be essentially free. Finite factor representations of other classes of groups are also discussed.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2014
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2013.04.003