Fixed point data of finite groups acting on 3–manifolds
نویسندگان
چکیده
منابع مشابه
Fixed Points of Finite Groups Acting on Generalised Thompson Groups
We study centralisers of finite order automorphisms of the generalised Thompson groups Fn,∞ and conjugacy classes of finite subgroups in finite extensions of Fn,∞. In particular we show that centralisers of finite automorphisms in Fn,∞ are either of type FP∞ or not finitely generated. As an application we deduce the following result about the Bredon type of such finite extensions: any finite ex...
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متن کاملFixed point free automorphisms of groups related to finite fields
Let G = Fqo 〈β〉 be the semidirect product of the additive group of the field of q = p elements and the cyclic group of order d generated by the invertible linear transformation β defined by multiplication by a power of a primitive root of Fq. We study endomorphisms of G. We find an arithmetic condition on d so that every endomorphism is determined by its values on (1, 1) and (0, β). When that i...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2003
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2003.3.709