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akron1207861524.pdf (1012.67 KB)
ETD Abstract Container
Abstract Header
Classifying Triply-Invariant Subspaces for p=3
Author Info
Wojtasinski, Justyna Agata
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=akron1207861524
Abstract Details
Year and Degree
2008, Master of Science, University of Akron, Mathematics.
Abstract
Let
p
be a prime number. Consider the vector space consisting of all
p
-by-
p
-by-
p
arrays of numbers taken from the field with
p
elements. It is desirable to construct, list, and describe all those subspaces that are simultaneously invariant under three particular linear transformations on this vector space. Even for a small prime
p
, such as
p
= 3, this is an extensive computational problem. Using an elaborate strategy based on concepts from linear algebra, we were able to complete several cases of this problem for the prime
p
= 3. This problem is connected with a problem of classifying certain subgroups of wreath product finite groups of prime-power order.
Committee
Jeffrey Riedl, PhD (Advisor)
Stuart Clary, PhD (Committee Member)
Ethel Wheland, PhD (Committee Member)
Pages
436 p.
Subject Headings
Mathematics
Keywords
triply-invariant subspaces
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Citations
Wojtasinski, J. A. (2008).
Classifying Triply-Invariant Subspaces for p=3
[Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1207861524
APA Style (7th edition)
Wojtasinski, Justyna.
Classifying Triply-Invariant Subspaces for p=3.
2008. University of Akron, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=akron1207861524.
MLA Style (8th edition)
Wojtasinski, Justyna. "Classifying Triply-Invariant Subspaces for p=3." Master's thesis, University of Akron, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=akron1207861524
Chicago Manual of Style (17th edition)
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Document number:
akron1207861524
Download Count:
410
Copyright Info
© 2008, some rights reserved.
Classifying Triply-Invariant Subspaces for p=3 by Justyna Agata Wojtasinski is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by University of Akron and OhioLINK.