Half-automorphisms of some code loops
Volume 129 / 2025
Banach Center Publications 129 (2025), 51-66
MSC: Primary 20N05; Secondary 20B25
DOI: 10.4064/bc129-3
Abstract
The concept of half-isomorphism becomes trivial for groups and Moufang loops of odd order. We study the existence of the nontrivial half-automorphism of code loops of rank $3$, based on the characteristic vectors and the group generated by all elementary mappings associated with those loops. In this paper we show the structure of the half-automorphism group of some code loops.
