1 citations · 1 across the 6 of their papers we have counts for
7 papers
On order units in the augmentation ideal
Piotr Mizerka, Piotr W. Nowak
We study order units in the real group ring and the augmentation ideal, as well as in matrix algebras. We identify an infinite family of order units in the powers of the augmentati…
Spectral gap for the cohomological Laplacian of
Marek Kaluba, Piotr Mizerka, Piotr W. Nowak
We show that the cohomological Laplacian in degree 1 in the group cohomology of is a sum of hermitian squares in the algebra $\mathbb{M}_n(\mathbb…
Exclusions of smooth actions on spheres of the non-split extension of by
Piotr Mizerka
There are four groups fitting into a short exact sequence where is the special linear group of $(2\…
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…
Inducing of exotic smooth two fixed point actions on spheres
Piotr Mizerka
This paper is concerned with the Smith question which reads as follows. Is it true that for a finite group acting smoothly on a sphere with exactly two fixed points, the tangent sp…
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 . Moreover, we give the dimensions of these irr…
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 has a smooth effective one fixed point action on some sphere if and only if is an Oliver…