| dc.contributor.advisor | Haynes R. Miller. | en_US |
| dc.contributor.author | Frankland, Martin | en_US |
| dc.contributor.other | Massachusetts Institute of Technology. Dept. of Mathematics. | en_US |
| dc.date.accessioned | 2010-10-29T13:57:30Z | |
| dc.date.available | 2010-10-29T13:57:30Z | |
| dc.date.copyright | 2010 | en_US |
| dc.date.issued | 2010 | en_US |
| dc.identifier.uri | http://hdl.handle.net/1721.1/59586 | |
| dc.description | Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2010. | en_US |
| dc.description | This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections. | en_US |
| dc.description | Cataloged from student-submitted PDF version of thesis. | en_US |
| dc.description | Includes bibliographical references (p. 161-162). | en_US |
| dc.description.abstract | We use the obstruction theory of Blanc-Dwyer-Goerss to study the realization space of certain - algebras with 2 non-trivial groups. The main technical tool is a result on the Quillen cohomology of truncated -algebras, which is an instance of comparison map induced by an adjunction. We study in more generality the behavior of Quillen (co)homology with respect to adjunctions. As a first step toward applying the obstruction theory to 3-types, we develop methods to compute Quillen cohomology of 2-truncated -algebras via a generalization of group cohomology. | en_US |
| dc.format.extent | 162 p. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Massachusetts Institute of Technology | en_US |
| dc.rights | M.I.T. theses are protected by
copyright. They may be viewed from this source for any purpose, but
reproduction or distribution in any format is prohibited without written
permission. See provided URL for inquiries about permission. | en_US |
| dc.rights.uri | http://dspace.mit.edu/handle/1721.1/7582 | en_US |
| dc.subject | Mathematics. | en_US |
| dc.title | Quillen cohomology of pi-algebras and application to their realization by Martin Frankland. | en_US |
| dc.type | Thesis | en_US |
| dc.description.degree | Ph.D. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.identifier.oclc | 671249306 | en_US |
