Let $ M $ be a compact connected $ n $-dimensional smooth manifold admitting an
unramified covering $\widetilde {M}\to M $ with cohomology classes $\alpha _1,\dots,\alpha …

A recent preprint of Csikós, Pyber and Szabó [CPS] proves that the diffeomorphism group of
T 2× S 2 is not Jordan. The purpose of this paper is to generalize the arguments in [CPS] in …

In this paper we study finite group extensions represented by special cohomology classes.
As an application, we obtain some restrictions on finite groups which can act freely on a …

We define the discrete degree of symmetry disc-sym (X) of a closed n-manifold X as the
biggest\(m\ge 0\) such that X supports an effective action of\((\mathbb {Z}/r)^ m\) for arbitrarily …

We define the discrete degree of symmetry $ disc-sym (X) $ of a closed $ n $-manifold $ X $
as the biggest $ m\geq 0$ such that $ X $ supports an effective action of $({\mathbf Z}/r)^ m …

NONEXISTENCE OF EQUIVARIANT DEGREE ONE MAPS Page 1 PROCEEDINGS of the
AMERICAN MATHEMATICAL SOCIETY Volume 101, Number 3, November 1987 …

Abstract Let G× Σ (1)× Σ (1) be a free, properly discontinuous and cellular action of a group G
on a finite-dimensional CW-complex Σ (1) that has the homotopy type of the circle. We …

A list of various types of connected, closed oriented manifolds are given. Each of the
manifolds support some of the well-known compact transformation group properties enjoyed …

Let SL n (ℤ) be the special linear group over integers and M r= S r 1× S r 2, T r 1× S r 2, or T r
0× S r 1× S r 2, products of spheres and tori. We prove that any group action of SL n (ℤ) on M …

A Seifert manifold is a 3-dimensional manifold with a circle action. It is a circle bundle (with
singularities) over a 2-dimensional orbifold. In this note, we discuss a generalized Seifert …