### Equivariant Nielsen fixed point theory

#### Abstract

We provide an alternative approach

to the equivariant Nielsen fixed point theory

developed by P. Wong in

[< i> Equivariant Nielsen numbers< /i> , Pacific J. Math. < b> 159< /b> (1993), 153–175] by associating an abstract simplicial complex

to any $G$-map and defining two $G$-homotopy invariants that

are lower bounds for the number of fixed points and orbits

in the $G$-homotopy class of a given $G$-map in terms of this complex.

We develop a relative equivariant Nielsen fixed point theory

along the lines above and prove a minimality result for the Nielsen-type

numbers introduced in this setting.

to the equivariant Nielsen fixed point theory

developed by P. Wong in

[< i> Equivariant Nielsen numbers< /i> , Pacific J. Math. < b> 159< /b> (1993), 153–175] by associating an abstract simplicial complex

to any $G$-map and defining two $G$-homotopy invariants that

are lower bounds for the number of fixed points and orbits

in the $G$-homotopy class of a given $G$-map in terms of this complex.

We develop a relative equivariant Nielsen fixed point theory

along the lines above and prove a minimality result for the Nielsen-type

numbers introduced in this setting.

#### Keywords

Equivariant fixed point theory; Nielsen fixed point theory; G-map

#### Full Text:

FULL TEXT### Refbacks

- There are currently no refbacks.