Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Andrew W. Sale"'
Autor:
Tim Susse, Andrew W. Sale
Publikováno v:
Pacific Journal of Mathematics. 314:161-208
We show that the outer automorphism groups of graph products of finitely generated abelian groups satisfy the Tits alternative, are residually finite, their so-called Torelli subgroups are finitely generated, and they satisfy a dichotomy between bein
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91570493b57ee1526e6fc61c2b047d1c
https://doi.org/10.2140/pjm.2021.314.161
https://doi.org/10.2140/pjm.2021.314.161
Autor:
Andrew W. Sale, Tim Susse
Publikováno v:
Transactions of the American Mathematical Society. 372:7785-7803
We generalize the notion of a separating intersection of links (SIL) to give necessary and sufficient criteria on the defining graph Γ \Gamma of a right-angled Coxeter group W Γ W_\Gamma so that its outer automorphism group is large: that is, it co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ccfdab93e59f20c75bab3a619d13e77
https://doi.org/10.1090/tran/7897
https://doi.org/10.1090/tran/7897
We describe an algorithm to find the virtual cohomological dimension of the automorphism group of a right-angled Artin group. The algorithm works in the relative setting; in particular it also applies to untwisted automorphism groups and basis-conjug
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9701cc2c98adf37990a3d1f83ad1b963
https://doi.org/10.1112/blms.12418
https://doi.org/10.1112/blms.12418
Autor:
Vincent Guirardel, Andrew W. Sale
Publikováno v:
Journal of Topology. 11:30-64
Outer automorphism groups of RAAGs, denoted $Out(A_\Gamma)$, interpolate between $Out(F_n)$ and $GL_n(\mathbb{Z})$. We consider several vastness properties for which $Out(F_n)$ behaves very differently from $GL_n(\mathbb{Z})$: virtually mapping onto
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::14b49cbbca1e407b73f5a76a4f975289
https://doi.org/10.1112/topo.12047
https://doi.org/10.1112/topo.12047
Autor:
Ben Hayes, Andrew W. Sale
Publikováno v:
Annales de l’institut Fourier. 68:423-455
Given the large class of groups already known to be sofic, there is seemingly a shortfall in results concerning their permanence properties. We address this problem for wreath products, and in particular investigate the behaviour of more general metr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36c8f0181dabf9963f39adba82c06b22
https://doi.org/10.5802/aif.3166
https://doi.org/10.5802/aif.3166
Autor:
Andrew W. Sale, Yago Antolín
Publikováno v:
Bulletin of the London Mathematical Society. 48:657-675
Modelled on efficient algorithms for solving the conjugacy problem in hyperbolic groups, we define and study the permutation conjugacy length function. This function estimates the length of a short conjugator between words $u$ and $v$, up to taking c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5abecc2a24de597f527976c229c71fa
https://doi.org/10.1112/blms/bdw028
https://doi.org/10.1112/blms/bdw028
Autor:
Andrew W. Sale
Publikováno v:
Communications in Algebra. 44:873-897
Determining the length of short conjugators in a group can be considered as an effective version of the conjugacy problem. The conjugacy length function provides a measure for these lengths. We study the behaviour of conjugacy length functions under
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1aa4a1e83ffd627ea2dbf1d022c02e7e
https://doi.org/10.1080/00927872.2014.990021
https://doi.org/10.1080/00927872.2014.990021
Autor:
Andrew W. Sale
Publikováno v:
Journal of Group Theory. 18:587-621
We describe an effective version of the conjugacy problem and study it for wreath products and free solvable groups. The problem involves estimating the length of short conjugators between two elements of the group, a notion which leads to the defini
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52b60e79273853afb391f5e4dfe74931
https://doi.org/10.1515/jgth-2015-0009
https://doi.org/10.1515/jgth-2015-0009
Autor:
Timothy Riley, Andrew W. Sale
Publikováno v:
Groups Complexity Cryptology. 6
A group has finite palindromic width if there exists $n$ such that every element can be expressed as a product of $n$ or fewer palindromic words. We show that if $G$ has finite palindromic width with respect to some generating set, then so does $G \w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b3647ee0de179a1f51163bbdc724593a
https://doi.org/10.1515/gcc-2014-0009
https://doi.org/10.1515/gcc-2014-0009
Autor:
Andrew W. Sale
Publikováno v:
Geometriae Dedicata
Geometriae Dedicata, 2015, 176 (1), pp.305-313. ⟨10.1007/s10711-014-9969-z⟩
Geometriae Dedicata, Springer Verlag, 2015, 176 (1), pp.305-313. 〈10.1007/s10711-014-9969-z〉
Geometriae Dedicata, Springer Verlag, 2015, 176 (1), pp.305-313. ⟨10.1007/s10711-014-9969-z⟩
Geometriae Dedicata, 2015, 176 (1), pp.305-313. ⟨10.1007/s10711-014-9969-z⟩
Geometriae Dedicata, Springer Verlag, 2015, 176 (1), pp.305-313. 〈10.1007/s10711-014-9969-z〉
Geometriae Dedicata, Springer Verlag, 2015, 176 (1), pp.305-313. ⟨10.1007/s10711-014-9969-z⟩
The classic Magnus embedding is a very effective tool in the study of abelian extensions of a finitely generated group $G$, allowing us to see the extension as a subgroup of a wreath product of a free abelian group with $G$. In particular, the embedd
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52497cd16ed0caf879f379d22dffd719
http://arxiv.org/abs/1202.5343
http://arxiv.org/abs/1202.5343