The Burnside Ring of a Cyclic Extension of a Torus.
The -topology is not completable
The -topology on abelian -groups
The cancellation problem for homotopy equivalent representations of finite groups: a survey
The canonical combinatorial sheaf associated to an involution of a semisimple adjoint group.
The Capelli identity, the double commutant theorem and multiplicity-free-actions.
The cardinal and the idempotent number of various monoids of transformations on a finite chain.
The cardinalities of the Green classes of the free objects in varieties of bands.
The categories of free metabelian groups and Lie algebras
The ...-category of a monoid.
The category of opetopes and the category of opetopic sets.
The category of totally symmetric quasigroups is binding
The catenary degree of Krull monoids I
Let be a Krull monoid with finite class group such that every class contains a prime divisor (for example, a ring of integers in an algebraic number field or a holomorphy ring in an algebraic function field). The catenary degree of is the smallest integer with the following property: for each and each two factorizations of , there exist factorizations of such that, for each , arises from by replacing at most atoms from by at most new atoms. Under a very mild condition...
The catgorical theory of self-similarity.
The Cayley graph and the growth of Steiner loops
We study properties of Steiner loops which are of fundamental importance to develop a combinatorial theory of loops along the lines given by Combinatorial Group Theory. In a summary we describe our findings.
The Cayley graphs of and the limits of vertex-primitive graphs of -type.
The cd-index of Bruhat intervals.
The center of translational hull and the hull of center of semigroup
The central heights of stability groups of series in vector spaces
We compute the central heights of the full stability groups of ascending series and of descending series of subspaces in vector spaces over fields and division rings. The aim is to develop at least partial right analogues of results on left Engel elements and related nilpotent radicals in such proved recently by Casolo & Puglisi, by Traustason and by the current author. Perhaps surprisingly, while there is an absolute bound on these central heights for descending series, for ascending series...
The centralizer of a classical group and Bruhat-Tits buildings
Let be a unitary group defined over a non-Archimedean local field of odd residue characteristic and let be the centralizer of a semisimple rational Lie algebra element of We prove that the Bruhat-Tits building of can be affinely and -equivariantly embedded in the Bruhat-Tits building of so that the Moy-Prasad filtrations are preserved. The latter property forces uniqueness in the following way. Let and be maps from to which preserve the Moy–Prasad filtrations. We prove that...