P. Mizerka

activity

20182021

collaborators

4 papers

math.GT2021

Exclusions of smooth actions on spheres of the non-split extension of $C_{2}$ by $S L (2, 5)$

Piotr Mizerka

There are four groups $G$ fitting into a short exact sequence $1 \to S L (2, 5) \to G \to C_{2} \to 1,$ where $S L (2, 5)$ is the special linear group of $(2\…

math.GR2020

A new family of finite Oliver groups satisfying the Laitinen Conjecture

Piotr Mizerka

This paper is concerned with the Laitinen Conjecture. The conjecture predicts an answer to the Smith question which reads as follows. Is it true that for a finite group acting smoo…

math.RT2019

Real irreducible representations of SL(2,q) and their fixed point dimensions for cyclic subgroups

Piotr Mizerka

We compute the characters of real irreducible representations of SL(2,q), the special linear group on q letters, for an odd prime $q$ . Moreover, we give the dimensions of these irr…

math.GT2018

Nonexistence of Smooth Effective One Fixed Point Actions of Finite Oliver Groups on Low-dimensional Spheres

A. Borowiecka, P. Mizerka

According to the work of Laitinen, Morimoto, Oliver and Pawałowski, a finite group $G$ has a smooth effective one fixed point action on some sphere if and only if $G$ is an Oliver…

Exclusions of smooth actions on spheres of the non-split extension of C2​ by SL(2,5)

A new family of finite Oliver groups satisfying the Laitinen Conjecture

Real irreducible representations of SL(2,q) and their fixed point dimensions for cyclic subgroups

Nonexistence of Smooth Effective One Fixed Point Actions of Finite Oliver Groups on Low-dimensional Spheres

Exclusions of smooth actions on spheres of the non-split extension of $C_{2}$ by $S L (2, 5)$