The Möbius number of the symmetric group
| dc.contributor.author | Monks, Kenneth M., author | |
| dc.contributor.author | Hulpke, Alexander, advisor | |
| dc.contributor.author | Penttila, Tim, committee member | |
| dc.contributor.author | Achter, Jeff, committee member | |
| dc.contributor.author | Toki, Walter, committee member | |
| dc.date.accessioned | 2007-01-03T08:11:24Z | |
| dc.date.available | 2007-01-03T08:11:24Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | The Möbius number of a finite group is its most important nontrivial combinatorial invariant. In this paper, we compute the Möbius numbers of many partially-ordered sets, including the odd-partition posets and the subgroup lattices of many infinite families of groups. This is done with an eye towards computing the Möbius number of the symmetric group on 18 points. | |
| dc.format.medium | born digital | |
| dc.format.medium | doctoral dissertations | |
| dc.identifier | Monks_colostate_0053A_11313.pdf | |
| dc.identifier.uri | http://hdl.handle.net/10217/68184 | |
| 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 | combinatorics | |
| dc.subject | symmetric group | |
| dc.subject | Möbius | |
| dc.subject | group theory | |
| dc.title | The Möbius number of the symmetric 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 | Doctoral | |
| thesis.degree.name | Doctor of Philosophy (Ph.D.) |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- Monks_colostate_0053A_11313.pdf
- Size:
- 452.83 KB
- Format:
- Adobe Portable Document Format
- Description: