AbstractOrthogonal splitting for lattices on quadratic spaces over algebraic number fields is studied. It is seen that if the rank of a lattice is sufficiently large, then its spinor genus must contain a decomposable lattice. Also, splitting theory is used to obtain a lower bound for the class number of a lattice (in the definite case) in terms of its rank, via the partition function
Abstract. Divisibility properties of class numbers is very important to know the structure of ideal ...
Le R be a principalidec domain withquotie tfie F.An R-lattice is afre R-module offinite rank spann...
Abstract. We prove Berhuy–Reichstein’s conjecture on the canonical dimension of orthogonal groups sh...
AbstractOrthogonal splitting for lattices on quadratic spaces over algebraic number fields is studie...
AbstractAn observation on class numbers of Dedekind domains is used to extend an earlier result by t...
We construct lattices with quadratic structure over the integers in quadratic number fields having t...
This thesis presents a classification, up to similarity, of all single-class genera of totally defin...
AbstractLet k be an algebraic function field of one variable X having a finite field GF(q) of consta...
AbstractH. Pfeuffer [J. Number Theory 11 (1979), 188–196] showed that totally positive quadratic for...
AbstractAn observation on class numbers of Dedekind domains is used to extend an earlier result by t...
It is known that classes of indefinite quadratic forms in a genus are classified by the Galois group...
AbstractLet V be a nondefective quadratic space over a function field F of characteristic 2. Let S b...
This article investigates the structure of quadratic forms and of division algebras of exponent two ...
Abstract. Let Ct(n) denote the number of t−core partitions of n, where a partition is a t−core if no...
AbstractLet V be a nondefective quadratic space over a function field F of characteristic 2. Let S b...
Abstract. Divisibility properties of class numbers is very important to know the structure of ideal ...
Le R be a principalidec domain withquotie tfie F.An R-lattice is afre R-module offinite rank spann...
Abstract. We prove Berhuy–Reichstein’s conjecture on the canonical dimension of orthogonal groups sh...
AbstractOrthogonal splitting for lattices on quadratic spaces over algebraic number fields is studie...
AbstractAn observation on class numbers of Dedekind domains is used to extend an earlier result by t...
We construct lattices with quadratic structure over the integers in quadratic number fields having t...
This thesis presents a classification, up to similarity, of all single-class genera of totally defin...
AbstractLet k be an algebraic function field of one variable X having a finite field GF(q) of consta...
AbstractH. Pfeuffer [J. Number Theory 11 (1979), 188–196] showed that totally positive quadratic for...
AbstractAn observation on class numbers of Dedekind domains is used to extend an earlier result by t...
It is known that classes of indefinite quadratic forms in a genus are classified by the Galois group...
AbstractLet V be a nondefective quadratic space over a function field F of characteristic 2. Let S b...
This article investigates the structure of quadratic forms and of division algebras of exponent two ...
Abstract. Let Ct(n) denote the number of t−core partitions of n, where a partition is a t−core if no...
AbstractLet V be a nondefective quadratic space over a function field F of characteristic 2. Let S b...
Abstract. Divisibility properties of class numbers is very important to know the structure of ideal ...
Le R be a principalidec domain withquotie tfie F.An R-lattice is afre R-module offinite rank spann...
Abstract. We prove Berhuy–Reichstein’s conjecture on the canonical dimension of orthogonal groups sh...
DOI
Add to ORKG