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...
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| Format: | Article |
| Language: | English |
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American Mathematical Society
2019
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| Online Access: | https://eprints.nottingham.ac.uk/49292/ |
| _version_ | 1848797966161149952 |
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| author | Pumpluen, Susanne |
| author_facet | Pumpluen, Susanne |
| author_sort | Pumpluen, Susanne |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:12:16Z |
| format | Article |
| id | nottingham-49292 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T20:12:16Z |
| publishDate | 2019 |
| publisher | American Mathematical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-492922019-01-25T13:09:15Z https://eprints.nottingham.ac.uk/49292/ The multiplicative loops of Jha-Johnson semifields Pumpluen, Susanne 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. American Mathematical Society 2019-01-12 Article PeerReviewed application/pdf en https://eprints.nottingham.ac.uk/49292/8/Loops.pdf Pumpluen, Susanne (2019) The multiplicative loops of Jha-Johnson semifields. Contemporary Mathematics, 721 . pp. 227-242. ISSN 0271-4132 |
| spellingShingle | Pumpluen, Susanne The multiplicative loops of Jha-Johnson semifields |
| title | The multiplicative loops of Jha-Johnson semifields |
| title_full | The multiplicative loops of Jha-Johnson semifields |
| title_fullStr | The multiplicative loops of Jha-Johnson semifields |
| title_full_unstemmed | The multiplicative loops of Jha-Johnson semifields |
| title_short | The multiplicative loops of Jha-Johnson semifields |
| title_sort | multiplicative loops of jha-johnson semifields |
| url | https://eprints.nottingham.ac.uk/49292/ |