Faithful actions on Differential Graded Algebras determine the isomorphism type of a large class of groups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2012
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| _version_ | 1866915104732217344 |
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| author | Costoya, Cristina Viruel, Antonio |
| author_facet | Costoya, Cristina Viruel, Antonio |
| contents | We prove that the isomorphism type of a large class of groups (containing finite groups, countable Artinian groups and mapping class groups of certain surfaces, among others) is determined by the set of differential graded $\mathbb Q$-algebras on which these groups act faithfully. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1206_3639 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Faithful actions on Differential Graded Algebras determine the isomorphism type of a large class of groups Costoya, Cristina Viruel, Antonio Representation Theory Algebraic Topology Geometric Topology We prove that the isomorphism type of a large class of groups (containing finite groups, countable Artinian groups and mapping class groups of certain surfaces, among others) is determined by the set of differential graded $\mathbb Q$-algebras on which these groups act faithfully. |
| title | Faithful actions on Differential Graded Algebras determine the isomorphism type of a large class of groups |
| topic | Representation Theory Algebraic Topology Geometric Topology |
| url | https://arxiv.org/abs/1206.3639 |