AbstractWe prove that the fixed point set (Sn X Rm)Φ by a finite subgroup Φ ⊂ O(n + 1, m) is isometric to some Sn', m'.Suppose that a discrete group Γ acts freely and properly discontinuously on Sn X Rm. We prove that if n is even, then Γ is virtually torsion free, in fact, Γ is torsion free, or else Γ is isomorphic to Γ' ⋊ Z2. Also we prove that if vcd(Γ) < ∞, then vcd(Γ) ⩽ m and the period of Farrell cohomology of Γ is at most n + 1
In the setting of finite groups, suppose J acts on N via. automorphisms so that the induced semidire...
AbstractWe will show that for every integer n ≧ 3 there exists a free non-abelian group of linear is...
Let G be a finite group and α be an automorphism of G of order pn for an odd prime p. Suppose that α...
AbstractWe prove that the fixed point set (Sn X Rm)Φ by a finite subgroup Φ ⊂ O(n + 1, m) is isometr...
A well known classical theorem due to Bieberbach says that every discrete group Γ of isometries of t...
We prove that for an action of a finite group G on a systolic complex X there exists a G–invariant s...
Let G be a group. The orbits of the natural action of Aut(G) on G are called automorphism orbits of ...
of fixed points A fixed point theorem is proved for inverse transducers, leading to an automata-theo...
AbstractLet R be a cyclic group of prime order which acts on the extraspecial group F in such a way ...
Abstract: We prove that if Γ is subgroup of Diff 1++ (I) and N is a natural number such that every n...
It is shown, for a given graph group G, that the fixed point subgroup Fix φ is finitely generated fo...
It is well-known that a point T ∈cvN in the (unprojectivized) Culler–Vogtmann Outer space cvN ...
Consider a proper cocompact CAT(0) space X. We give a complete algebraic characterisation of amenabl...
Let G be a finite group, and let XG = {x = (x(s,t)) Î GZ2 : x(s,t) = x(s,t-1)·x(s+1,t-1)for all (s,t...
The search for complete sets of invaxiants is a recurrent theme in the theory of abeliaR groups. Thi...
In the setting of finite groups, suppose J acts on N via. automorphisms so that the induced semidire...
AbstractWe will show that for every integer n ≧ 3 there exists a free non-abelian group of linear is...
Let G be a finite group and α be an automorphism of G of order pn for an odd prime p. Suppose that α...
AbstractWe prove that the fixed point set (Sn X Rm)Φ by a finite subgroup Φ ⊂ O(n + 1, m) is isometr...
A well known classical theorem due to Bieberbach says that every discrete group Γ of isometries of t...
We prove that for an action of a finite group G on a systolic complex X there exists a G–invariant s...
Let G be a group. The orbits of the natural action of Aut(G) on G are called automorphism orbits of ...
of fixed points A fixed point theorem is proved for inverse transducers, leading to an automata-theo...
AbstractLet R be a cyclic group of prime order which acts on the extraspecial group F in such a way ...
Abstract: We prove that if Γ is subgroup of Diff 1++ (I) and N is a natural number such that every n...
It is shown, for a given graph group G, that the fixed point subgroup Fix φ is finitely generated fo...
It is well-known that a point T ∈cvN in the (unprojectivized) Culler–Vogtmann Outer space cvN ...
Consider a proper cocompact CAT(0) space X. We give a complete algebraic characterisation of amenabl...
Let G be a finite group, and let XG = {x = (x(s,t)) Î GZ2 : x(s,t) = x(s,t-1)·x(s+1,t-1)for all (s,t...
The search for complete sets of invaxiants is a recurrent theme in the theory of abeliaR groups. Thi...
In the setting of finite groups, suppose J acts on N via. automorphisms so that the induced semidire...
AbstractWe will show that for every integer n ≧ 3 there exists a free non-abelian group of linear is...
Let G be a finite group and α be an automorphism of G of order pn for an odd prime p. Suppose that α...
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