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The Γ0 Graph of a p-Regular Partition

Lyons, Corey Francis
http://rave.ohiolink.edu/etdc/view?acc_num=akron1271082086

Abstract Details

2010, Master of Science, University of Akron, Mathematics.
We investigate the p-regularization function from the set Γ0(n) to the set of p-regular partitions of n. This function induces a natural directed graph for a given p-regular partition λ, called the Γ0 graph of λ. We demonstrate how MATLAB can be used to help create the Γ0(n) graph and develop examples with complicated structure. Then we narrow our view to one-ladder partitions to see how the Γ0 graph can be arbitrarily complicated.
James Cossey, Dr. (Advisor)
Stuart Clary, Dr. (Committee Member)
Riedl Jeffrey, Dr. (Committee Member)
38 p.
Mathematics
p-regular partitions; partitions; symmetric group; abacus; Young diagram; S_n; p-regularization

Recommended Citations

Citations

  • Lyons, C. F. (2010). The Γ0 Graph of a p-Regular Partition [Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1271082086

    APA Style (7th edition)

  • Lyons, Corey. The Γ0 Graph of a p-Regular Partition. 2010. University of Akron, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1271082086.

    MLA Style (8th edition)

  • Lyons, Corey. "The Γ0 Graph of a p-Regular Partition." Master's thesis, University of Akron, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=akron1271082086

    Chicago Manual of Style (17th edition)

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This open access ETD is published by University of Akron and OhioLINK.