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On the Subgroups of Right Angled Artin Groups and Mapping Class Groups

Abstract:

There exist right angled Artin groups $A$ such that the isomorphism problem for finitely presented subgroups of $A$ is unsolvable, and for certain finitely presented subgroups the conjugacy and membership problems are unsolvable. It follows that if $S$ is a surface of finite type and the genus of $S$ is sufficiently large, then the corresponding decision problems for the mapping class group $Mod(S)$ are unsolvable. Every virtually special group embeds in the mapping class group of infinitely ...

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Publication status:
Published

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Publisher copy:
10.4310/MRL.2013.v20.n2.a1

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
MATHEMATICAL RESEARCH LETTERS More from this journal
Volume:
20
Issue:
2
Pages:
203-212
Publication date:
2012-05-24
DOI:
EISSN:
1945-001X
ISSN:
1073-2780
Language:
English
Keywords:
Pubs id:
pubs:332988
UUID:
uuid:fb14ae9c-0863-4525-bf35-5fea5f8a7105
Local pid:
pubs:332988
Source identifiers:
332988
Deposit date:
2013-11-17

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