Monks, Kenneth M., authorHulpke, Alexander, advisorPenttila, Tim, committee memberAchter, Jeff, committee memberToki, Walter, committee member2007-01-032007-01-032012http://hdl.handle.net/10217/68184The 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.born digitaldoctoral dissertationsengCopyright 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.combinatoricssymmetric groupMöbiusgroup theoryText