Vahlen's Group of Clifford Matrices and Spin-Groups.
Valency seven symmetric graphs of order
A graph is said to be symmetric if its automorphism group acts transitively on its arcs. In this paper, all connected valency seven symmetric graphs of order are classified, where , are distinct primes. It follows from the classification that there is a unique connected valency seven symmetric graph of order , and that for odd primes and , there is an infinite family of connected valency seven one-regular graphs of order with solvable automorphism groups, and there are four sporadic ones...
Valuated Butler groups of special type
Valuations and group algebras
Valuations in groups and rings
Valuations of lines
We enlarge the problem of valuations of triads on so called lines. A line in an -structure (it means that is a semigroup and is an automorphism or an antiautomorphism on such that ) is, generally, a sequence , , (where is the class of finite integers) of substructures of such that holds for each . We denote this line as and we say that a mapping is a valuation of the line in a line if it is, for each , a valuation of the triad in . Some theorems on an existence of...
Valuations on free resolutions and higher geometric invariants of groups.
Valued Groups.
Valued vector spaces and abelian -groups
Vanishing of Hochschild cohomology for affine group schemes and rigidity of homomorphisms between algebraic groups.
Vanishing of the first reduced cohomology with values in an -representation
We prove that the first reduced cohomology with values in a mixing -representation, , vanishes for a class of amenable groups including connected amenable Lie groups. In particular this solves for this class of amenable groups a conjecture of Gromov saying that every finitely generated amenable group has no first reduced -cohomology. As a byproduct, we prove a conjecture by Pansu. Namely, the first reduced -cohomology on homogeneous, closed at infinity, Riemannian manifolds vanishes. We also...
Vanishing theorems and conjectures for the 2-homology of right-angled Coxeter groups.
Variational problems for riemannian functionals and arithmetic groups
Variations on a theme of groups splitting by a quadratic extension and Grothendieck-Serre conjecture for group schemes with trivial invariant.
Varietal free products of bands.
Varietal generalisations of Schur multipliers, stem extensions and stem covers.
Varietal Homology and Parafree Groups.
Variété des caractères et slice étale de l'espace des représentations d'un groupe
Varietes de languages et monoide des parties.
Varieties generated by free completely simple semigroups.