Add to ORKGThe symplectic group Sp(2g,Z) is a subgroup of the linear group SL(2g,Z) and admits a faithful action on the sphere S^{2g-1}, induced from its linear action on Euclidean space R^{2g}. Generalizing corresponding results for linear groups we show that, for g> 2, any continuous action of Sp(2g,Z) on a homology m-sphere, and in particular on S^m, is trivial if m < 2g-1
It is a consequence of the classical Jordan bound for finite subgroups of linear groups that in each...
The standard actions of finite groups on spheres are linear actions, or by finite subgroups of an or...
Any continuous action of SL(n,Z), where n \u3e 2, on a r-dimensional mod 2 homology sphere factors t...
AbstractThe group SL(n,Z) admits a smooth faithful action on Sn−1, induced from its linear action on...
AbstractThe group SL(n,Z) admits a smooth faithful action on Sn−1, induced from its linear action on...
A finite nonabelian simple group does not admit a free action on a homology sphere, and the only fin...
Any continuous action of SL(n,Z), where n \u3e 2, on a r-dimensional mod 2 homology sphere factors t...
Any continuous action of SL(n,Z), where n \u3e 2, on a r-dimensional mod 2 homology sphere factors t...
We prove that the only finite non-abelian simple groups G which possibly admit an action on a Z_2-ho...
Any continuous action of SL(n,Z), where n \u3e 2, on a r-dimensional mod 2 homology sphere factors t...
We shall study smooth SL(m,C) × SL(n,C)-actions on the natural (2m+2n-1)-sphere whose restricted ac...
Any continuous action of SL(n,Z), where n \u3e 2, on a r-dimensional mod 2 homology sphere factors t...
We consider the following problem: for which classes of finite groups, and in particular finite simp...
We establish lower bounds on the dimensions in which arithmetic groups with torsion can act on acycl...
Any continuous action of SL(n,Z), where n \u3e 2, on a r-dimensional mod 2 homology sphere factors t...
It is a consequence of the classical Jordan bound for finite subgroups of linear groups that in each...
The standard actions of finite groups on spheres are linear actions, or by finite subgroups of an or...
Any continuous action of SL(n,Z), where n \u3e 2, on a r-dimensional mod 2 homology sphere factors t...
AbstractThe group SL(n,Z) admits a smooth faithful action on Sn−1, induced from its linear action on...
AbstractThe group SL(n,Z) admits a smooth faithful action on Sn−1, induced from its linear action on...
A finite nonabelian simple group does not admit a free action on a homology sphere, and the only fin...
Any continuous action of SL(n,Z), where n \u3e 2, on a r-dimensional mod 2 homology sphere factors t...
Any continuous action of SL(n,Z), where n \u3e 2, on a r-dimensional mod 2 homology sphere factors t...
We prove that the only finite non-abelian simple groups G which possibly admit an action on a Z_2-ho...
Any continuous action of SL(n,Z), where n \u3e 2, on a r-dimensional mod 2 homology sphere factors t...
We shall study smooth SL(m,C) × SL(n,C)-actions on the natural (2m+2n-1)-sphere whose restricted ac...
Any continuous action of SL(n,Z), where n \u3e 2, on a r-dimensional mod 2 homology sphere factors t...
We consider the following problem: for which classes of finite groups, and in particular finite simp...
We establish lower bounds on the dimensions in which arithmetic groups with torsion can act on acycl...
Any continuous action of SL(n,Z), where n \u3e 2, on a r-dimensional mod 2 homology sphere factors t...
It is a consequence of the classical Jordan bound for finite subgroups of linear groups that in each...
The standard actions of finite groups on spheres are linear actions, or by finite subgroups of an or...
Any continuous action of SL(n,Z), where n \u3e 2, on a r-dimensional mod 2 homology sphere factors t...