Ueber die Anzahl der Werthe einer ganzen Function von n Elementen.
Un théorème concernant le nombre total des bases d'un groupe d'ordre fini.
Une généralisation d'un résultat de J. Aczél et M.Hosszú sur l'équation de translation.
Unramified cohomology of alternating groups
We prove vanishing results for the unramified stable cohomology of alternating groups.
Untergruppenverbände zweifach transitiver Permutationsgruppen.
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...
Vector-valued Jack polynomials from scratch.
Violations of the Ingleton inequality and revising the four-atom conjecture
The entropy region is a fundamental object of study in mathematics, statistics, and information theory. On the one hand, it involves pure group theory, governing inequalities satisfied by subgroup indices, whereas on the other hand, computing network coding capacities amounts to a convex optimization over this region. In the case of four random variables, the points in the region that satisfy the Ingleton inequality (corresponding to abelian groups and to linear network codes) form a well-understood...
V-кольца и их связь с группами автоморфизмов бинарных отношений
Weak automorphisms of linear spaces and of some other abstract algebras
Weakly-exceptional quotient singularities
A singularity is said to be weakly-exceptional if it has a unique purely log terminal blow-up. In dimension 2, V. Shokurov proved that weakly-exceptional quotient singularities are exactly those of types D n, E 6, E 7, E 8. This paper classifies the weakly-exceptional quotient singularities in dimensions 3 and 4.
When is the orbit algebra of a group an integral domain ? Proof of a conjecture of P.J. Cameron
Cameron introduced the orbit algebra of a permutation group and conjectured that this algebra is an integral domain if and only if the group has no finite orbit. We prove that this conjecture holds and in fact that the age algebra of a relational structure R is an integral domain if and only if R is age-inexhaustible. We deduce these results from a combinatorial lemma asserting that if a product of two non-zero elements of a set algebra is zero then there is a finite common tranversal of their...
Wildness in the product groups
Non-abelian Polish groups arising as countable products of countable groups can be tame in arbitrarily complicated ways. This contrasts with some results of Solecki who revealed a very different picture in the abelian case.
Zur Existenz einfacher abelscher Varietäten mit komplexer Multiplikation.
Zur Geometrie der Frobeniusgruppen.
Zur geometrischen Bedeutung der Gruppen der automorphen Kollineationen einer harmonischen und äquianharmonischen kubischen Kurve
Zur Konstruktion von t-Plänen nach der Allgemeinen Differenzenmethode.
Zur Parametrisierung von Untergruppen freier Gruppen
Zur Theorie der zusammengesetzten Gruppen.
Zur Unauflösbarkeit der symmetrischen Gruppe Sn (n>4).