Results 41 to 50 of about 51,088 (236)

The solution to a conjecture of Tits on the subgroup generated by the squares of the generators of an Artin group

, 2000
It was conjectured by Tits that the only relations amongst the squares of the standard generators of an Artin group are the obvious ones, namely that a^2 and b^2 commute if ab=ba appears as one of the Artin relations.
Crisp, John, Paris, Luis
core   +3 more sources

Convex cocompactness in mapping class groups via quasiconvexity in right-angled Artin groups [PDF]

, 2013
We characterize convex cocompact subgroups of mapping class groups that arise as subgroups of specially embedded right-angled Artin groups. That is, if the right-angled Artin group G in Mod(S) satisfies certain conditions that imply G is quasi ...
Mangahas, Johanna, Taylor, Samuel J.
core   +1 more source

The last incoherent Artin group [PDF]

Proceedings of the American Mathematical Society, 2012
The author studies the (in)coherence of certain \(3\)-generator Artin groups. Recall that a group is called coherent if every finitely generated subgroup is finitely presented. In the author's notation, we write \(A(pqr)\) for the Artin group generated by three elements which, when cyclically ordered, satisfy Artin relations of length \(p\), \(q\) and \
openaire   +2 more sources

On subgroups of right angled Artin groups with few generators

, 2015
For each natural number $d$ we construct a $3$-generated group $H_d$, which is a subdirect product of free groups, such that the cohomological dimension of $H_d$ is $d$.
Minasyan, Ashot
core   +1 more source

The L-two cohomology of Artin groups

, 2003
For each Artin group we compute the reduced ℓ2-cohomology of its 'Salvetti complex'. This is a CW-complex which is conjectured to be a model for the classifying space of the Artin group. When this conjecture is known to hold our calculation describes the
Davis, M.W., Leary, I.J.
core   +1 more source

STARK POINTS AND $p$-ADIC ITERATED INTEGRALS ATTACHED TO MODULAR FORMS OF WEIGHT ONE

Forum of Mathematics, Pi, 2015
Let $E$ be an elliptic curve over $\mathbb{Q}$, and let ${\it\varrho}_{\flat }$ and ${\it\varrho}_{\sharp }$ be odd two-dimensional Artin representations for which ${\it\varrho}_{\flat }\otimes {\it\varrho}_{\sharp }$ is self-dual.
HENRI DARMON, ALAN LAUDER, VICTOR ROTGER
doaj   +1 more source

Radical preservation and the finitistic dimension

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We introduce the notion of radical preservation and prove that a radical‐preserving homomorphism of left artinian rings of finite projective dimension with superfluous kernel reflects the finiteness of the little finitistic, big finitistic, and global dimension.
Odysseas Giatagantzidis
wiley   +1 more source

Cohomology of affine Artin groups and applications

, 2007
The result of this paper is the determination of the cohomology of Artin groups of type A_n, B_n and \tilde{A}_{n} with non-trivial local coefficients.
Callegaro, Filippo, Moroni, Davide, Salvetti, Mario   +2 more
core   +1 more source

Combination theorems for Wise's power alternative

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We show that Wise's power alternative is stable under certain group constructions, use this to prove the power alternative for new classes of groups and recover known results from a unified perspective. For groups acting on trees, we introduce a dynamical condition that allows us to deduce the power alternative for the group from the power ...
Mark Hagen, Alexandre Martin, Giovanni Sartori   +2 more
wiley   +1 more source

Random Artin groups

Algebraic & Geometric Topology
16 pages, 2 ...
Goldsborough, Antoine, Vaskou, Nicolas
openaire   +2 more sources