Zobrazeno 1 - 10
of 15
pro vyhledávání: '"20E36, 20F36"'
Autor:
Wiedmer, Manuel
We prove that every right-angled Artin group occurs as a finite-index subgroup of the outer automorphism group of another right-angled Artin group. We furthermore show that the latter group can be chosen in such a way that the quotient is isomorphic
Externí odkaz:
http://arxiv.org/abs/2209.02033
Autor:
Wade, Richard D., Brück, Benjamin
A theorem of Brady and Meier states that a right-angled Artin group is a duality group if and only if the flag complex of the defining graph is Cohen--Macaulay. We use this to give an example of a RAAG with the property that its outer automorphism gr
Externí odkaz:
http://arxiv.org/abs/2101.08225
Autor:
Day, Matthew B., Wade, Richard D.
We study the outer automorphism group of a right-angled Artin group $A_\Gamma$ with finite defining graph $\Gamma$. We construct a subnormal series for $Out(A_\Gamma)$ such that each consecutive quotient is either finite, free-abelian, $GL(n,\mathbb{
Externí odkaz:
http://arxiv.org/abs/1712.01583
Autor:
Day, Matthew B., Wade, Richard D.
We introduce a homology theory for subspace arrangements, and use it to extract a new system of numerical invariants from the Bieri-Neumann-Strebel invariant of a group. We use these to characterize when the set of basis conjugating outer automorphis
Externí odkaz:
http://arxiv.org/abs/1508.00622
Autor:
Bieri, Robert, Strebel, Ralph
Richard J. Thompson invented his group F in the 60s; it is a group full of surprises: it has a finite presentation with 2 generators and 2 relators, and a derived group that is simple; it admits a peculiar infinite presentation and has a local defini
Externí odkaz:
http://arxiv.org/abs/1411.2868
Autor:
Wade, Richard D.
Publikováno v:
J. London Math. Soc. (2013) 88 (3): 860-882
Let G be a real semisimple Lie group with no compact factors and finite centre, and let $\Lambda$ be a lattice in G. Suppose that there exists a homomorphism from $\Lambda$ to the outer automorphism group of a right-angled Artin group $A_\Gamma$ with
Externí odkaz:
http://arxiv.org/abs/1101.2797
Autor:
Kida, Yoshikata, Yamagata, Saeko
Publikováno v:
J. Knot Theory Ramifications 22 (2013), 1350055, 46 pp
Let g and n be integers at least two, and let G be the pure braid group with n strands on a closed orientable surface of genus g. We describe any injective homomorphism from a finite index subgroup of G into G. As a consequence, we show that any fini
Externí odkaz:
http://arxiv.org/abs/1006.2599
Autor:
Kida, Yoshikata, Yamagata, Saeko
Publikováno v:
J. Math. Soc. Japan 63 (2011) 1391-1435
We prove that if g and n are integers at least two, then the abstract commensurator of the braid group with n strands on a closed orientable surface of genus g is naturally isomorphic to the extended mapping class group of a compact orientable surfac
Externí odkaz:
http://arxiv.org/abs/1004.2946
A theorem of Brady and Meier states that a right-angled Artin group is a duality group if and only if the flag complex of the defining graph is Cohen--Macaulay. We use this to give an example of a RAAG with the property that its outer automorphism gr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a6b4a7db48dcfc659197af323c7c4e6f
Autor:
Matthew B. Day, Richard D. Wade
We study the outer automorphism group of a right-angled Artin group $A_\Gamma$ with finite defining graph $\Gamma$. We construct a subnormal series for $Out(A_\Gamma)$ such that each consecutive quotient is either finite, free-abelian, $GL(n,\mathbb{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11116cc851b94819a2ce71120c2e15ac
https://ora.ox.ac.uk/objects/uuid:b16015eb-0fe4-4d59-b60e-969f00b86903
https://ora.ox.ac.uk/objects/uuid:b16015eb-0fe4-4d59-b60e-969f00b86903