Dr SUSANNE PUMPLUEN Susanne.Pumpluen@nottingham.ac.uk
ASSOCIATE PROFESSOR
The multiplicative loops of Jha-Johnson semifields
Pumpluen, Susanne
Authors
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.
Citation
Pumpluen, S. (2019). The multiplicative loops of Jha-Johnson semifields. Communications in Contemporary Mathematics, 721, 227-242
Journal Article Type | Article |
---|---|
Acceptance Date | Jan 23, 2018 |
Publication Date | Jan 12, 2019 |
Deposit Date | Jan 23, 2018 |
Publicly Available Date | Jan 12, 2019 |
Journal | Contemporary Mathematics |
Print ISSN | 0219-1997 |
Electronic ISSN | 1793-6683 |
Publisher | World Scientific |
Peer Reviewed | Peer Reviewed |
Volume | 721 |
Pages | 227-242 |
Public URL | https://nottingham-repository.worktribe.com/output/906298 |
Related Public URLs | https://www.ams.org/books/conm/721/ |
Contract Date | Aug 2, 2018 |
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