On a multiplication of semigroup varieties.
On a New Approach to Williamson's Generalization of Pólya's Enumeration Theorem
Pólya’s fundamental enumeration theorem and some results from Williamson’s generalized setup of it are proved in terms of Schur- Macdonald’s theory (S-MT) of “invariant matrices”. Given a permutation group W ≤ Sd and a one-dimensional character χ of W , the polynomial functor Fχ corresponding via S-MT to the induced monomial representation Uχ = ind|Sdv/W (χ) of Sd , is studied. It turns out that the characteristic ch(Fχ ) is the weighted inventory of some set J(χ) of W -orbits in the integer-valued hypercube...
On a New Characterization of Demuskin Groups.
On a Non-Abelian Variety of Groups which are Symmetric Algebras.
On a number of commuting transformations
On a planar construction of quasigroups
On a power of cyclically ordered sets
On a problem of A.D. Sands.
On a problem of B. Zelinka
On a problem of B. Zelinka, II
On a Problem of Boone.
On a problem of Chern-Akivis-Shelekhov on hexagonal three-webs.
On a Problem of Fox.
On a problem of Freudenthal's
On a problem of n(2)-permutable semigroups.
On a problem of Pastijn and Petrich.
On a problem of the theory of multiply local formations.
On a problem of walks
In 1995, F. Jaeger and M.-C. Heydemann began to work on a conjecture on binary operations which are related to homomorphisms of De Bruijn digraphs. For this, they have considered the class of digraphs such that for any integer , has exactly walks of length , where is the order of . Recently, C. Delorme has obtained some results on the original conjecture. The aim of this paper is to recall the conjecture and to report where all the authors arrived.
On a problem on explicit embeddings of the group .
On a property of groups with coverings.