Asymptotic enumeration of matrix groups
| dc.contributor.author | Tyburski, Brady A., author | |
| dc.contributor.author | Wilson, James B., advisor | |
| dc.contributor.author | Adams, Henry, committee member | |
| dc.contributor.author | Pries, Rachel, committee member | |
| dc.contributor.author | Wilson, Jesse W., committee member | |
| dc.date.accessioned | 2018-09-10T20:04:18Z | |
| dc.date.available | 2018-09-10T20:04:18Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | We prove that the general linear group GLd(pe) has between pd4e/64-O(d2) and pd4e2·log2p distinct isomorphism types of subgroups. The upper bound is obtained by elementary counting methods, where as the lower bound is found by counting the number of isomorphism types of subgroups of the generalized Heisenberg group. To count these subgroups, we use nuclei of a bilinear map alongside versor products - a division analog of the tensor product. | |
| dc.format.medium | born digital | |
| dc.format.medium | masters theses | |
| dc.identifier | Tyburski_colostate_0053N_14873.pdf | |
| dc.identifier.uri | https://hdl.handle.net/10217/191288 | |
| 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 | bilinear map | |
| dc.subject | Heisenberg group | |
| dc.subject | versor | |
| dc.subject | general linear group | |
| dc.subject | algebra | |
| dc.subject | isotopism | |
| dc.title | Asymptotic enumeration of matrix groups | |
| 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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