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akron1270830566.pdf (250.86 KB)
ETD Abstract Container
Abstract Header
Combinatorial Problems Related to the Representation Theory of the Symmetric Group
Author Info
Kreighbaum, Kevin M.
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=akron1270830566
Abstract Details
Year and Degree
2010, Master of Science, University of Akron, Mathematics.
Abstract
It is known that the set of
p
-regular partitions of
n
, the set of Γ
0
partitions of
n
, and the set of Alperin weights of the symmetric group
S
n
all have equal size. We investigate the relationship between partitions and representations of the symmetric group in search of a natural bijection between the Alperin weights and the partitions in Γ
0
. Through this search, we were able to classify the abacus display of one-ladder partitions and also describe circumstances when the set of Γ
0
partitions of
n
is in fact equal to the set of
p
-regular partitions of
n
.
Committee
James Cossey, Dr. (Advisor)
Pages
46 p.
Subject Headings
Mathematics
Keywords
representation theory
;
symmetric group
;
alperin weights
;
partitions
;
p-regular
;
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Citations
Kreighbaum, K. M. (2010).
Combinatorial Problems Related to the Representation Theory of the Symmetric Group
[Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1270830566
APA Style (7th edition)
Kreighbaum, Kevin.
Combinatorial Problems Related to the Representation Theory of the Symmetric Group.
2010. University of Akron, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=akron1270830566.
MLA Style (8th edition)
Kreighbaum, Kevin. "Combinatorial Problems Related to the Representation Theory of the Symmetric Group." Master's thesis, University of Akron, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=akron1270830566
Chicago Manual of Style (17th edition)
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Document number:
akron1270830566
Download Count:
423
Copyright Info
© 2010, all rights reserved.
This open access ETD is published by University of Akron and OhioLINK.