The multiplicative loops of JhaJohnson semifieldsTools Pumpluen, Susanne (2019) The multiplicative loops of JhaJohnson semifields. Contemporary Mathematics, 721 . pp. 227242. ISSN 02714132
AbstractThe multiplicative loops of JhaJohnson semifields are nonautomorphic 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 nontrivial automorphism group and nontrivial inner mappings. Upper bounds are given for the number of nonisotopic 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.
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