Document Type
Thesis
Date of Degree Completion
Summer 1974
Degree Name
Master of Science (MS)
Department
Mathematics
Committee Chair
Frederick Monie Lister
Second Committee Member
William Burrage Owen
Third Committee Member
David Richard Anderson
Abstract
This paper presents an account of the relationship between the symmetric group on n symbols, Sn, and its automorphism group for each natural number n. For n ≠ 2, Sn is isomorphic to its inner automorphism group. S2 has only the identity automorphism. For n ≥ 3, n ≠ 6, each automorphism of Sn is an inner automorphism. An illustration shows where this proof fails when n = 6. S6 has outer automorphism. An example of an outer automorphism for S6 is given.
Recommended Citation
Madison, Harold Lyle, "Symmetric Groups and Their Automorphism Groups" (1974). All Master's Theses. 2242.
https://digitalcommons.cwu.edu/etd/2242
Comments
This thesis has been digitized and made available as part of the University’s ongoing preservation and access initiatives. Copyright is retained by the original author. The University has made a good faith effort to review this work for copyright and privacy concerns prior to digitization. If you are the author or a rights holder and have questions, concerns or wish to request removal, please contact ScholarWorks@cwu.edu.