Original title:
Problém izomorfismu pro quandly odvozené z grup
Translated title:
Isomophism problem for quandles derived from groups
Authors:
Pudich, Ondřej ; Stanovský, David (advisor) ; Vojtěchovský, Petr (referee) Document type: Bachelor's theses
Year:
2023
Language:
cze Abstract:
[cze][eng] V této práci se budeme zaměřovat na matematickou strukturu nazvanou quandle. Bude nás zajímat, kdy jsou dva principální quandly izomorfní. Nejprve dokážeme abs- traktní charakterizaci toho, kdy jsou dva principální quandly izomorfní. Pomocí dokáza- ných vět si poté ukážeme částečné řešení problému izomorfismu principálních quandlů na dihedrálních grupách. 1In this bachelor thesis, we focus on the mathematical structure called quandle. The point of interest shall be to provide the solution to the isomorphism problem, i.e., to determine exactly when two quandles are isomorphic. We address this problem in the case of principal quandles. Firstly, we prove the abstract characterization of when two principal quandles are isomorphic, and secondly, we imply the results on dihedral groups and obtain a partial classification. 1
Keywords:
quandles|isomorphism problem; quandly|problém izomorfismu
Institution: Charles University Faculties (theses)
(web)
Document availability information: Available in the Charles University Digital Repository. Original record: http://hdl.handle.net/20.500.11956/182993