On skew centralizers and reversing symmetry groups
Date of Publication
2002
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This thesis is an exposition of the article written by Geoffrey Goodson entitled "Inverse Conjugacies and Reversing Symmetry Groups" published by the American Mathematical Monthly in 1999. The main body of this study proves the basic properties of skew centralizers and reversing symmetry groups and illustrate them with well known groups such as permutation groups, dihedral groups and alternating groups. This further explains and establishes the relationship of the different structures in abstract algebra to both skew centralizer and reversing symmetry group. Moreover, inner automorphism is applied to some of the structures discussed in the beginning of this paper. Lastly, the results from the preceeding sections were applied to the case where G is a topological group.
Abstract Format
html
Language
English
Format
Accession Number
TU11094
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
95 leaves
Recommended Citation
Castillo, J. L., & Malabanan, R. L. (2002). On skew centralizers and reversing symmetry groups. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/17227
