Add to ORKGLet $F[X]$ be the polynomial ring over a finite field $F$. It is shown that, for $n\geq 3$, the special linear group $SL_n(F[X])$ is boundedly generated by the elementary matrices.Comment: 6 pages; final version (January 2017
In this paper, we count the number of matrices $A = (A_{i,j} )\in \mathcal{O} \subset Mat_{n\times n...
We show that the principal algebraic actions of countably infinite groups associated to lopsided ele...
We develop new techniques to classify basic algebras of blocks of finite groups over algebraically c...
Let $K$ be a number field and ${\mathcal O}$ be the ring of $S$-integers in $K$. Morgan, Rapinchuck,...
We present the main ideas of a nice proof (due to D. Carter, G. Keller, and E. Paige) that every mat...
We prove that a matrix from the split orthogonal group over a polynomial ring with coefficients in a...
We prove that an element from the Chevalley group of type $E_6$ or $E_7$ over a polynomial ring with...
This paper extends the results of Boij, Eisenbud, Erman, Schreyer, and S\"oderberg on the structure ...
We describe algorithms to compute fixed fields, splitting fields and towers of radical extensions wi...
Let k be a field. Then Gaussian elimination over k and the Euclidean division algorithm for the univ...
We prove that every term of the lower central series and Johnson filtrations of the Torelli subgroup...
We study the Morava $E$-theory (at a prime $p$) of $BGL_d(F)$, where $F$ is a finite field with $|F|...
The log canonical ring of a projective plt pair with the Kodaira dimension two is finitely generated...
We calculate the exact values of the F{\o}lner function $\mathrm{F{\o}l}$ of the lamplighter group $...
AbstractLet k be a field. Then Gaussian elimination over k and the Euclidean division algorithm for ...
In this paper, we count the number of matrices $A = (A_{i,j} )\in \mathcal{O} \subset Mat_{n\times n...
We show that the principal algebraic actions of countably infinite groups associated to lopsided ele...
We develop new techniques to classify basic algebras of blocks of finite groups over algebraically c...
Let $K$ be a number field and ${\mathcal O}$ be the ring of $S$-integers in $K$. Morgan, Rapinchuck,...
We present the main ideas of a nice proof (due to D. Carter, G. Keller, and E. Paige) that every mat...
We prove that a matrix from the split orthogonal group over a polynomial ring with coefficients in a...
We prove that an element from the Chevalley group of type $E_6$ or $E_7$ over a polynomial ring with...
This paper extends the results of Boij, Eisenbud, Erman, Schreyer, and S\"oderberg on the structure ...
We describe algorithms to compute fixed fields, splitting fields and towers of radical extensions wi...
Let k be a field. Then Gaussian elimination over k and the Euclidean division algorithm for the univ...
We prove that every term of the lower central series and Johnson filtrations of the Torelli subgroup...
We study the Morava $E$-theory (at a prime $p$) of $BGL_d(F)$, where $F$ is a finite field with $|F|...
The log canonical ring of a projective plt pair with the Kodaira dimension two is finitely generated...
We calculate the exact values of the F{\o}lner function $\mathrm{F{\o}l}$ of the lamplighter group $...
AbstractLet k be a field. Then Gaussian elimination over k and the Euclidean division algorithm for ...
In this paper, we count the number of matrices $A = (A_{i,j} )\in \mathcal{O} \subset Mat_{n\times n...
We show that the principal algebraic actions of countably infinite groups associated to lopsided ele...
We develop new techniques to classify basic algebras of blocks of finite groups over algebraically c...