The mod 2 cohomology rings of SL2 of the imaginary quadratic integers
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Abstract
- We establish general dimension formulae for the second page of the equivariant spectral sequence of the action of the SL2 groups over imaginary quadratic integers on their associated symmetric space. By way of doing this, we extend the torsion subcomplex reduction technique to cases, where the kernel of the group action is nontrivial. Using the equivariant and Lyndon-Hochschild-Serre spectral sequences, we investigate the second page differentials and show how to obtain the mod 2 cohomology rings of our groups from this information.
| Title | The mod 2 cohomology rings of SL2 of the imaginary quadratic integers |
|---|---|
| Creator | Berkove, Ethan |
| Rahm, A. D. | |
| Publisher | Journal of Pure and Applied Algebra |
| Academic Department | Mathematics |
| Division | Natural Sciences |
| Organization | Lafayette College |
| Date Issued | 2016 |
| Date Available | 2017-03-01T20:19:54Z |
| Type | Article |
| Language | English |
| Keyword | homology |
| torsion | |
| PSL2 | |
| spectrum | |
| Bianchi Groups | |
| Bibliographic Citation | Berkove, E. and A. D. Rahm (2016) "The mod 2 cohomology rings of SL2 of the imaginary quadratic integers." Journal of Pure and Applied Algebra 220 (3): 944-975. |
| Standard Identifier | Handle 10385/2179 |
| DOI 10.1016/j.jpaa.2015.08.002 | |
| Permalink | http://hdl.handle.net/10385/2179 |
| Rights Statement |
In Copyright
|
| Rights Holders | Elsevier B. V. |
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| File | Berkove-JournalofPureandAppliedMathematics-vol220-2015.pdf | Uploaded 2019-10-20 | Public | Download |
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