The multiplicative loops of Jha-Johnson semifields

The multiplicative loops of Jha-Johnson semifields are non-automorphic finite loops whose left and right nuclei are the multiplicative groups of a field extension of their centers. They yield examples of finite loops with non-trivial automorphism group and non-trivial inner mappings. Upper bounds ar...

Full description

Bibliographic Details
Main Author: Pumpluen, Susanne
Format: Article
Language:English
Published: American Mathematical Society 2019
Online Access:https://eprints.nottingham.ac.uk/49292/