Related papers: A Borel maximal cofinitary group

We establish sharp upper and lower estimates of the Dunkl kernel in the case of dihedral groups.

We construct many irreducible polynomials within semigroups generated by sets of the form $S=\{x^2+c_1,\dots,x^2+c_s\}$ under composition.

We construct a fundamental theory of the derived category of non-finite bi-filtered complexes.

We give a new proof of the Mordell-Lang conjecture in positive characteristic for finitely generated subgroups. We also make some progress towards the full Mordell-Lang conjecture in positive characteristic.

We describe the infinite dihedral group as automaton group. We collect basic results and give full proofs in details for all statements.

In this paper we classify reflection subgroups of Euclidean Coxeter groups.

We give a homological characterisation of relatively prosolvable projective groups.

Given a reflection $r$ in a Coxeter group $W$ (possibly of infinite rank), we consider the subgroup of $W$ generated by the reflections in $W$ having (-1)-eigenvectors orthogonal to the (-1)-eigenvector of $r$. In this paper, we determine…

In this short note we prove the Borel conjecture for a family of aspherical manifolds that includes higher graph manifolds.

An example of a cocomplete abelian category that is not complete is constructed.

Recall that a $p$-group of order $p^ {n} >p^ {3} $ is of maximal class, if its nilpotency class is $n-1$. In this paper, we study the $p$-groups of maximal class. Furthermore, we introduce a subgroup of a $p$-group of maximal class called…

In this short note we discuss the interplay between finite Coxeter groups and construction of wavelet sets, generalized multiresolution analysis and sampling.

We present a sharp upper bound for the number of generators of a finite group in terms of the ratio between the order and the exponent.

The purpose of this note is to start the systematic analysis of cofinal types of topological groups.

We present two uncountable families of finitely generated residually finite groups all having the same profinite completion. One consists of soluble groups, the other of branch groups.

We construct a 2-generator recursively presented group with infinite torsion length. We also explore the construction in the context of solvable and word-hyperbolic groups.

This paper gives a systematic construction of certain covers of finite semigroups. These covers will be used in future work on the complexity of finite semigroups.

In the present note, we generalize the first part of the Borel-Cantelli lemma. By this generalization, we obtain some strong limit results.

We classify finite groups $G$, such that the group algebra, $\mathbb{Q}G$ (over the field of rational numbers $\mathbb{Q}$), is the direct product of the group algebra $\mathbb{Q}[G/N]$ of a proper factor group $G/N$, and some division…

We develop the theory of Mackey profunctors, a version of Mackey functors for profinite groups.