-nacci sequences in finite triangle groups.
-theory of virtually poly-surface groups.
conjecture for Artin groups
The purpose of this paper is to put together a large amount of results on the conjecture for Artin groups, and to make them accessible to non-experts. Firstly, this is a survey, containing basic definitions, the main results, examples and an historical overview of the subject. But, it is also a reference text on the topic that contains proofs of a large part of the results on this question. Some proofs as well as few results are new. Furthermore, the text, being addressed to non-experts, is as...
Kartesisch und residuell abgeschlossene Gruppenklassen [Book]
Kazhdan constants for SL (3, Z).
Kazhdan–Lusztig basis and a geometric filtration of an affine Hecke algebra, II
An affine Hecke algebras can be realized as an equivariant -group of the corresponding Steinberg variety. This gives rise naturally to some two-sided ideals of the affine Hecke algebra by means of the closures of nilpotent orbits of the corresponding Lie algebra. In this paper we will show that the two-sided ideals are in fact the two-sided ideals of the affine Hecke algebra defined through two-sided cells of the corresponding affine Weyl group after the two-sided ideals are tensored by . This...
k-counting automata
In this paper, we define k-counting automata as recognizers for ω-languages, i.e. languages of infinite words. We prove that the class of ω-languages they recognize is a proper extension of the ω-regular languages. In addition we prove that languages recognized by k-counting automata are closed under Boolean operations. It remains an open problem whether or not emptiness is decidable for k-counting automata. However, we conjecture strongly that it is decidable and give formal reasons why we believe...
k-counting automata
In this paper, we define k-counting automata as recognizers for ω-languages, i.e. languages of infinite words. We prove that the class of ω-languages they recognize is a proper extension of the ω-regular languages. In addition we prove that languages recognized by k-counting automata are closed under Boolean operations. It remains an open problem whether or not emptiness is decidable for k-counting automata. However, we conjecture strongly...
Kleinian groups and the rank problem.
Knit products of some groups and their applications
Knot and braid invariants from contact homology. I.
Knot and braid invariants from contact homology. II.
Konstruktion endlicher graduierter assoziativer Algebren
Konstruktion von Zahl- und Funktionenkörpern mit vorgegebener Galoisgruppe.
Konstruktion von zusammenhängenden galoisschen Algebren der Charakteristik pk zu vorgegebener Gruppe der Ordnung pf.
Konvexe gerichtete Untergruppen der Rieszschen Gruppen
Krammer's representation of the pure braid group .
Kurosh-Amitsur radical theory for groups.