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Inner Automorphisms of an Abelian Extension of a Quandle.
- Source :
-
Kyungpook Mathematical Journal . Dec2023, Vol. 63 Issue 4, p709-718. 10p. - Publication Year :
- 2023
-
Abstract
- The inner automorphism groups of quandles are related to the classification problem of quandles. The inner automorphism group of a quandle is generated by inner automorphisms which are presented by columns in the operation table of the quandle. In this paper, we describe inner automorphisms of an abelian extension of a quandle by expressing columns of the operation table of the extended quandle as columns of the operation table of the original quandle. Such a description will be helpful in studying inner automorphism groups of abelian extensions of quandles. [ABSTRACT FROM AUTHOR]
- Subjects :
- *AUTOMORPHISM groups
*GROUP extensions (Mathematics)
*ABELIAN groups
*AUTOMORPHISMS
Subjects
Details
- Language :
- English
- ISSN :
- 12256951
- Volume :
- 63
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Kyungpook Mathematical Journal
- Publication Type :
- Academic Journal
- Accession number :
- 175552260
- Full Text :
- https://doi.org/10.5666/KMJ.2023.63.4.709