Determining synchronization of certain classes of primitive groups of affine type
| dc.contributor.author | Story, Dustin, author | |
| dc.contributor.author | Hulpke, Alexander, advisor | |
| dc.contributor.author | Adams, Henry, committee member | |
| dc.contributor.author | Buchanan, Norm, committee member | |
| dc.contributor.author | Gillespie, Maria, committee member | |
| dc.date.accessioned | 2022-05-30T10:22:56Z | |
| dc.date.available | 2022-05-30T10:22:56Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | The class of permutation groups includes 2-homogeneous groups, synchronizing groups, and primitive groups. Moreover, 2-homogeneous implies synchronizing, and synchronizing in turn implies primitivity. A complete classification of synchronizing groups remains an open problem. Our search takes place amongst the primitive groups, looking for examples of synchronizing and non-synchronizing. Using a case distinction from Aschbacher classes, our main results are constructive proofs showing that three classes of primitive affine groups are nonsynchronizing. | |
| dc.format.medium | born digital | |
| dc.format.medium | doctoral dissertations | |
| dc.identifier | Story_colostate_0053A_17173.pdf | |
| dc.identifier.uri | https://hdl.handle.net/10217/235342 | |
| dc.language | English | |
| dc.language.iso | eng | |
| dc.publisher | Colorado State University. Libraries | |
| dc.relation.ispartof | 2020- | |
| 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 | primitive | |
| dc.subject | synchronizing | |
| dc.subject | synchronization | |
| dc.subject | affine | |
| dc.title | Determining synchronization of certain classes of primitive groups of affine type | |
| 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 | Doctoral | |
| thesis.degree.name | Doctor of Philosophy (Ph.D.) |
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