The group extensions problem and its resolution in cohomology for the case of an elementary abelian normal sub-group
| dc.contributor.author | Adams, Zachary W., author | |
| dc.contributor.author | Hulpke, Alexander, advisor | |
| dc.contributor.author | Patel, Amit, committee member | |
| dc.contributor.author | Bohm, Wim, committee member | |
| dc.date.accessioned | 2018-09-10T20:04:26Z | |
| dc.date.available | 2018-09-10T20:04:26Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | The Jordan-Hölder theorem gives a way to deconstruct a group into smaller groups, The converse problem is the construction of group extensions, that is to construct a group G from two groups Q and K where K ≤ G and G/K ≅ Q. Extension theory allows us to construct groups from smaller order groups. The extension problem then is to construct all extensions G, up to suitable equivalence, for given groups K and Q. This talk will explore the extension problem by first constructing extensions as cartesian products and examining the connections to group cohomology. | |
| dc.format.medium | born digital | |
| dc.format.medium | masters theses | |
| dc.identifier | Adams_colostate_0053N_14897.pdf | |
| dc.identifier.uri | https://hdl.handle.net/10217/191312 | |
| dc.language | English | |
| dc.language.iso | eng | |
| dc.publisher | Colorado State University. Libraries | |
| dc.relation.ispartof | 2000-2019 | |
| dc.rights | Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright. | |
| dc.subject | group extension | |
| dc.subject | group cohomology | |
| dc.subject | group theory | |
| dc.title | The group extensions problem and its resolution in cohomology for the case of an elementary abelian normal sub-group | |
| dc.type | Text | |
| dcterms.rights.dpla | This Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Colorado State University | |
| thesis.degree.level | Masters | |
| thesis.degree.name | Master of Science (M.S.) |
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