On a symmetry criterion for conjugacy infinite groups
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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | text |
| Language: | English |
| Published: |
Animo Repository
1998
|
| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/16499 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | De La Salle University |
| Language: | English |
| id |
oai:animorepository.dlsu.edu.ph:etd_bachelors-17012 |
|---|---|
| record_format |
eprints |
| spelling |
oai:animorepository.dlsu.edu.ph:etd_bachelors-170122021-11-29T07:30:44Z On a symmetry criterion for conjugacy infinite groups De Sagun, Twilite L. Mayuga, Jovert M. 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. 1998-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/16499 Bachelor's Theses English Animo Repository Infinite groups Symmetry groups Quantum theory Representations of groups |
| institution |
De La Salle University |
| building |
De La Salle University Library |
| continent |
Asia |
| country |
Philippines Philippines |
| content_provider |
De La Salle University Library |
| collection |
DLSU Institutional Repository |
| language |
English |
| topic |
Infinite groups Symmetry groups Quantum theory Representations of groups |
| spellingShingle |
Infinite groups Symmetry groups Quantum theory Representations of groups De Sagun, Twilite L. Mayuga, Jovert M. On a symmetry criterion for conjugacy infinite groups |
| description |
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. |
| format |
text |
| author |
De Sagun, Twilite L. Mayuga, Jovert M. |
| author_facet |
De Sagun, Twilite L. Mayuga, Jovert M. |
| author_sort |
De Sagun, Twilite L. |
| title |
On a symmetry criterion for conjugacy infinite groups |
| title_short |
On a symmetry criterion for conjugacy infinite groups |
| title_full |
On a symmetry criterion for conjugacy infinite groups |
| title_fullStr |
On a symmetry criterion for conjugacy infinite groups |
| title_full_unstemmed |
On a symmetry criterion for conjugacy infinite groups |
| title_sort |
on a symmetry criterion for conjugacy infinite groups |
| publisher |
Animo Repository |
| publishDate |
1998 |
| url |
https://animorepository.dlsu.edu.ph/etd_bachelors/16499 |
| _version_ |
1772835273236807680 |