Abstract. The aim of the paper is to compute the groups of self-homotopy equivalences of equivariant spheres, on which a finite group acts. A theorem is proved, and tools or algorithms are provided as to be used in a computer-algebra environment (GAP). Actual computation has been performed on some examples, and for the 213 regular G-spheres for non-abelian groups of order less than 63. 1
We give a general framework for studying G-CW complexes via the orbit category. As an application we...
AbstractLet G be a finite group one of the forms given in the title with period 2d and X(n) an n-dim...
Throughout this short article, all maps are understood to be continuous. Borsuk-Ulam theorem says th...
Abstract. Let G be a finite group. The group of homotopy self-equivalences EG(X) of an orthogonal G-...
Let G be a finite group. The group of homotopy self-equivalences EG(X) of an orthogonal G-sphere X i...
AbstractLet G be a finite group one of the forms given in the title with period 2d and X(n) an n-dim...
Let G = Z/a x(mu) (Z/b x TL(2)(F(p))) and X(n) be an n-dimensional CW-complex with the homotopy type...
AbstractLet G=Z/a⋊μ(Z/b×TL2(Fp)) and X(n) be an n-dimensional CW-complex with the homotopy type of t...
The group consisting of the based homotopy classes of self-homotopy equivalences is called the self-...
Recently, Grodal and Smith [7}have developed a finite algebraic model to study hG-spaces where G is ...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
This book presents a new degree theory for maps which commute with a group of symmetries. This degre...
In the first part of the thesis we discuss the rank conjecture of Benson and Carlson. In particular,...
In the first part of the thesis we discuss the rank conjecture of Benson and Carlson. In particular,...
Abstract. We study the problems concerning on free actions of groups on a space which is homotopy eq...
We give a general framework for studying G-CW complexes via the orbit category. As an application we...
AbstractLet G be a finite group one of the forms given in the title with period 2d and X(n) an n-dim...
Throughout this short article, all maps are understood to be continuous. Borsuk-Ulam theorem says th...
Abstract. Let G be a finite group. The group of homotopy self-equivalences EG(X) of an orthogonal G-...
Let G be a finite group. The group of homotopy self-equivalences EG(X) of an orthogonal G-sphere X i...
AbstractLet G be a finite group one of the forms given in the title with period 2d and X(n) an n-dim...
Let G = Z/a x(mu) (Z/b x TL(2)(F(p))) and X(n) be an n-dimensional CW-complex with the homotopy type...
AbstractLet G=Z/a⋊μ(Z/b×TL2(Fp)) and X(n) be an n-dimensional CW-complex with the homotopy type of t...
The group consisting of the based homotopy classes of self-homotopy equivalences is called the self-...
Recently, Grodal and Smith [7}have developed a finite algebraic model to study hG-spaces where G is ...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
This book presents a new degree theory for maps which commute with a group of symmetries. This degre...
In the first part of the thesis we discuss the rank conjecture of Benson and Carlson. In particular,...
In the first part of the thesis we discuss the rank conjecture of Benson and Carlson. In particular,...
Abstract. We study the problems concerning on free actions of groups on a space which is homotopy eq...
We give a general framework for studying G-CW complexes via the orbit category. As an application we...
AbstractLet G be a finite group one of the forms given in the title with period 2d and X(n) an n-dim...
Throughout this short article, all maps are understood to be continuous. Borsuk-Ulam theorem says th...