Related papers: A Borel maximal cofinitary group
We study the growth rate of the number of maximal arithmetic subgroups of bounded covolumes in a semi-simple Lie group using an extension of the method due to Borel and Prasad.
A classification of finite groups in which every 3-maximal subgroup is K-U-subnormal is given.
In [I. Arzhantsev and M. Zaidenberg, Borel subgroups of the automorphism groups of affine toric surfaces, arXiv:2507.09679 (2025)] we described the Borel subgroups and maximal solvable subgroups of the automorphism groups of affine toric…
In this paper, we classify the finite simple groups with an abelian Sylow subgroup.
A new family of maximal curves over a finite field is presented and some of their properties are investigated.
We propose various problems about Borel complexity of characterized subgroups of compact abelian groups, inspired by our forthcoming paper \cite{DI3}.
We generalise to profinite groups some of our previous results on the cohomology of pro-p groups of bounded sectional p-rank.
We construct affine algebras with an arbitrary amount of simple modules of each dimension.
We give a classification of maximal elements of the set of finite groups that can be realized as the full automorphism groups of polarized abelian surfaces over finite fields.
The maximal finite abelian subgroups, up to conjugation, of the simple algebraic group of type E8 over an algebraically closed field of characteristic 0 are computed. This is equivalent to the determination of the fine gradings on the…
We provide a new proof for maximal monotonicity of the subdifferential of a convex function.
This work gives a classification of imprimitive irreducible finite subgroups of the orthogonal group O(7) plus the number of conjugate classes for each group.
Let $(W, I)$ be a finite Coxeter group. In the case where $W$ is a Weyl group, Berenstein and Kazhdan in \cite{BK} constructed a monoid structure on the set of all subsets of $I$ using unipotent $\chi$-linear bicrystals. In this paper, we…
We show that if there exists a countable Borel equivalence relation which is hyper-hyperfinite but not hyperfinite then the complexity of hyperfinite countable Borel equivalence relations is as high as possible, namely,…
We classify irreducible actions of connected groups of finite Morley rank on abelian groups of Morley rank 3.
This paper surveys some results and methods in topological transformation groups.
We prove that there are only finitely many arithmetic Kleinian maximal reflection groups.
Given a magnetic finite group, we consider the similarity classes of magnetic equivariant central simple graded algebras over the complex numbers. We call this set the magnetic equivariant graded Brauer group and its structure as an abelian…
We construct a finitely presented group $G$ with non-quadratic Dehn function $f$ majorizable by a quadratic function on arbitrary long intervals.
We prove a lower bound on the dimension of the set of maximal border subrank tensors. This is the first such bound of its type.