The multiplicative loops of Jha-Johnson semifields

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Pumpluen, Susanne (2019) The multiplicative loops of Jha-Johnson semifields. Contemporary Mathematics, 721 . pp. 227-242. ISSN 0271-4132

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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
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URL Type
http://www.ams.org/books/conm/721/
UNSPECIFIED
Depositing User: Eprints, Support
Date Deposited: 23 Jan 2018 11:36
Last Modified: 25 Jan 2019 13:09
URI: https://eprints.nottingham.ac.uk/id/eprint/49292

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