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pro vyhledávání: '"Matthew B. Day"'
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
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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:
Matthew B. Day, Andrew Putman
Publikováno v:
Geometry & Topology. 21:2851-2896
Let IA_n be the Torelli subgroup of Aut(F_n). We give an explicit finite set of generators for H_2(IA_n) as a GL_n(Z)-module. Corollaries include a version of surjective representation stability for H_2(IA_n), the vanishing of the GL_n(Z)-coinvariant
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1506c85f7c4bb2eb69fb4eec220e9d7a
https://doi.org/10.2140/gt.2017.21.2851
https://doi.org/10.2140/gt.2017.21.2851
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{
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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
Autor:
Matthew B. Day, Andrew Putman
Publikováno v:
International Journal of Algebra and Computation. 26:585-617
We develop an analogue of the Birman exact sequence for the Torelli subgroup of Aut(F_n). This builds on earlier work of the authors who studied an analogue of the Birman exact sequence for the entire group Aut(F_n). These results play an important r
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7fd39b3120cd6e7a81d31c87728f1840
https://doi.org/10.1142/s0218196716500260
https://doi.org/10.1142/s0218196716500260
Autor:
Matthew B. Day
Publikováno v:
Algebr. Geom. Topol. 14, no. 3 (2014), 1677-1743
We prove a new version of the classical peak-reduction theorem for automorphisms of free groups in the setting of right-angled Artin groups. We use this peak-reduction theorem to prove two important corollaries about the action of the automorphism gr
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3132cf216260fe2ea18905654bba75b9
https://doi.org/10.2140/agt.2014.14.1677
https://doi.org/10.2140/agt.2014.14.1677
Autor:
Matthew B. Day, Andrew Putman
Publikováno v:
Advances in Mathematics. 231:243-275
The Birman exact sequence describes the effect on the mapping class group of a surface with boundary of gluing discs to the boundary components. We construct an analogous exact sequence for the automorphism group of a free group. For the mapping clas
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https://explore.openaire.eu/search/publication?articleId=doi_________::67903ae5f8a5b51edc026d9157a65a32
https://doi.org/10.1016/j.aim.2012.04.024
https://doi.org/10.1016/j.aim.2012.04.024
Autor:
Matthew B. Day
Publikováno v:
International Journal of Algebra and Computation. 21:61-70
For any right-angled Artin group, we show that its outer automorphism group contains either a finite-index nilpotent subgroup or a nonabelian free subgroup. This is a weak Tits alternative theorem. We find a criterion on the defining graph that deter
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30b10d9a93bab625e57deb3fa21b2534
https://doi.org/10.1142/s021819671100608x
https://doi.org/10.1142/s021819671100608x
Autor:
Matthew B. Day
Publikováno v:
Geom. Topol. 13, no. 2 (2009), 817-855
We generalize the peak-reduction algorithm (Whitehead's theorem) for free groups to a theorem about a general right-angled Artin group A_Gamma. As an application, we find a finite presentation for the automorphism group Aut A_Gamma that generalizes M
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7fc7281576d2f4718d52fc952cb35437
https://doi.org/10.2140/gt.2009.13.817
https://doi.org/10.2140/gt.2009.13.817
Autor:
Matthew B. Day, Richard D. Wade
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
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29b484038adf5998921a19ebe2c793cb
Autor:
Andrew Putman, Matthew B. Day
We study the complex of partial bases of a free group, which is an analogue for $\Aut(F_n)$ of the curve complex for the mapping class group. We prove that it is connected and simply connected, and we also prove that its quotient by the Torelli subgr
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::303e97b5de0dd21607cace5ef42dfbcb
http://arxiv.org/abs/1012.1914
http://arxiv.org/abs/1012.1914