The multiplicative loops of Jha-Johnson semifields

Pumpluen, Susanne (2018) The multiplicative loops of Jha-Johnson semifields. Contemporary Mathematics . ISSN 0271-4132 (In Press)

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Abstract

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 are given for the number of non-isotopic multiplicative loops of order qnm -1 that are defined using the twisted polynomial ring K[t;σ] and a twisted irreducible polynomial of degree m, when the automorphism σ has order n.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Depositing User: Eprints, Support
Date Deposited: 23 Jan 2018 11:36
Last Modified: 28 Jan 2018 19:33
URI: http://eprints.nottingham.ac.uk/id/eprint/49292

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