Add to ORKGThe main result includes as special cases on the one hand, the Gerstenhaber--Rothaus theorem (1962) and its generalisation due to Nitsche and Thom (2022) and, on the other hand, the Brodskii--Howie--Short theorem (1980--1984) generalising Magnus's Freiheitssatz (1930).Comment: 6 pages. A Russian version of this paper is at http://halgebra.math.msu.su/staff/klyachko/papers.htm V2: A proof of the Nitsche--Thom theorem is adde
We use recent results about linking the number of zeros on algebraic varieties over $\mathbb{C}$, de...
We prove the following conjecture of Shkredov and Solymosi: every subset $A \subset \mathbf{Z}^2$ su...
AbstractWe construct examples of localizations in the category of groups which take the Mathieu grou...
We generalise a result of D. J. Collins on intersections of conjugates of Magnus subgroups of one-re...
In this short note, we prove a G-equivariant generalisation of McDuff-Segal's group completion theor...
AbstractThe classical results of Magnus on one-relator groups (such as the Freiheitssatz and the sol...
We prove a result that relates the number of homomorphisms from the fundamental group of a compact n...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135658/1/jlms0095.pd
A short proof, using graphs and groupoids, is given of Brodskii's theorem that torsion-free one-rela...
In this article, we obtain a non-uniform version of Hrushovski's generalisation of the Lang-Weil est...
The Galois--McKay conjecture is a refinement of the McKay conjecture that additionally takes some Ga...
Post's Correspondence Problem (the PCP) is a classical decision problem in theoretical computer scie...
We prove new results in generalized Harish-Chandra theory providing a description of the so-called B...
AbstractA relative presentation is a triple P=(A,X:R) where A is a group, X is a set, and R is a set...
We show that the finiteness length of an S-arithmetic subgroup Gamma in a noncommutative isotropic a...
We use recent results about linking the number of zeros on algebraic varieties over $\mathbb{C}$, de...
We prove the following conjecture of Shkredov and Solymosi: every subset $A \subset \mathbf{Z}^2$ su...
AbstractWe construct examples of localizations in the category of groups which take the Mathieu grou...
We generalise a result of D. J. Collins on intersections of conjugates of Magnus subgroups of one-re...
In this short note, we prove a G-equivariant generalisation of McDuff-Segal's group completion theor...
AbstractThe classical results of Magnus on one-relator groups (such as the Freiheitssatz and the sol...
We prove a result that relates the number of homomorphisms from the fundamental group of a compact n...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135658/1/jlms0095.pd
A short proof, using graphs and groupoids, is given of Brodskii's theorem that torsion-free one-rela...
In this article, we obtain a non-uniform version of Hrushovski's generalisation of the Lang-Weil est...
The Galois--McKay conjecture is a refinement of the McKay conjecture that additionally takes some Ga...
Post's Correspondence Problem (the PCP) is a classical decision problem in theoretical computer scie...
We prove new results in generalized Harish-Chandra theory providing a description of the so-called B...
AbstractA relative presentation is a triple P=(A,X:R) where A is a group, X is a set, and R is a set...
We show that the finiteness length of an S-arithmetic subgroup Gamma in a noncommutative isotropic a...
We use recent results about linking the number of zeros on algebraic varieties over $\mathbb{C}$, de...
We prove the following conjecture of Shkredov and Solymosi: every subset $A \subset \mathbf{Z}^2$ su...
AbstractWe construct examples of localizations in the category of groups which take the Mathieu grou...