On automorphism groups of p-groups
| dc.contributor.author | Maglione, Joshua, author | |
| dc.contributor.author | Wilson, James B., advisor | |
| dc.contributor.author | Hulpke, Alexander, committee member | |
| dc.contributor.author | Penttila, Tim, committee member | |
| dc.contributor.author | Ross, Kate, committee member | |
| dc.date.accessioned | 2017-09-14T16:04:08Z | |
| dc.date.available | 2017-09-14T16:04:08Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | We provide the necessary framework to use filters in computational settings, in particular for finitely generated nilpotent groups. The main motivation for this is to construct automorphisms of the group from derivations and Lie automorphisms of an associated Lie algebra. The key application of our work is a naively parallelizable algorithm to compute Aut(G), for finite p-groups G of exponent p. This algorithm comes as a consequence of several structure theorems on filters; one, which allows for parallelism, is a theorem about general decompositions of groups (e.g. central decompositions) and their automorphisms. | |
| dc.format.medium | born digital | |
| dc.format.medium | doctoral dissertations | |
| dc.identifier | Maglione_colostate_0053A_14221.pdf | |
| dc.identifier.uri | https://hdl.handle.net/10217/183861 | |
| 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 | filters | |
| dc.subject | p-groups | |
| dc.subject | automorphisms | |
| dc.subject.lcsh | Lie algebras | |
| dc.title | On automorphism groups of p-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 | Doctoral | |
| thesis.degree.name | Doctor of Philosophy (Ph.D.) |
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