On a symmetry criterion for conjugacy infinite groups
Date of Publication
1998
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This study is an exposition of the article entitled On a Symmetry Criterion for Conjugacy in Finite Groups by W. Jacobson. It is shown that two elements a and b of a finite group G are conjugates if and only if they can be found symmetrically situated relative to the main diagonal of the group table. Moreover, if a and b are conjugate elements of a finite group G with a # b, then there are n/k = r pairs of elements {ui, Vi] in G X G such that uiVi = and viui=b, where n is the order of G, and k is the size of the conjugacy class in G to which a and b belong.
Abstract Format
html
Language
English
Format
Accession Number
TU08770
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
45 numb. leaves
Keywords
Infinite groups; Symmetry groups; Quantum theory; Representations of groups
Recommended Citation
De Sagun, T. L., & Mayuga, J. M. (1998). On a symmetry criterion for conjugacy infinite groups. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16499
