Zobrazeno 1 - 10
of 97
pro vyhledávání: '"Dan Margalit"'
Autor:
Matt Clay, Dan Margalit
Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. Office Hours with a Geometric Group Theorist brings togeth
Autor:
Benson Farb, Dan Margalit
The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible,
Autor:
Dan Margalit
Publikováno v:
Notices of the American Mathematical Society. 70:1
Autor:
Rebecca R. Winarski, Dan Margalit
Publikováno v:
Bulletin of the London Mathematical Society. 53:643-659
We construct the first examples of normal subgroups of mapping class groups that are isomorphic to non-free right-angled Artin groups. Our construction also gives normal, non-free right-angled Artin subgroups of other groups, such as braid groups and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b764437e0c00f110f004ac7fd9601cda
Autor:
Kevin Kordek, Dan Margalit
We give a complete classification of homomorphisms from the commutator subgroup of the braid group on $n$ strands to the braid group on $n$ strands when $n$ is at least 7. In particular, we show that each nontrivial homomorphism extends to an automor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45a5f4d886d8fea57c08e365d78a700e
http://arxiv.org/abs/1910.06941
http://arxiv.org/abs/1910.06941
Autor:
Tara E. Brendle, Dan Margalit
We prove that if a normal subgroup of the extended mapping class group of a closed surface has an element of sufficiently small support, then its automorphism group and abstract commensurator group are both isomorphic to the extended mapping class gr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b7268840b1dadee91417a687de51b45
https://eprints.gla.ac.uk/185779/1/185779.pdf
https://eprints.gla.ac.uk/185779/1/185779.pdf
We give a simple algorithm that determines whether a given post-critically finite topological polynomial is Thurston equivalent to a polynomial. If it is, the algorithm produces the Hubbard tree; otherwise, the algorithm produces the canonical obstru
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a58bef75f3eb9094d0662bf167a9679b
Publikováno v:
Journal of the London Mathematical Society. 93:664-682
We consider the pseudo-Anosov elements of the mapping class group of a surface of genus g that fix a rank k subgroup of the first homology of the surface. We show that the smallest entropy among these is comparable to (k+1)/g. This interpolates betwe
Publikováno v:
Mathematische Annalen. 366:1253-1279
We give an algorithm for determining the distance between two vertices of the complex of curves. While there already exist such algorithms, for example by Leasure, Shackleton, and Webb, our approach is new, simple, and more effective for all distance