23 citations · 112 across the 27 of their papers we have counts for
5 papers · 1 filter
The multiplicative loops of Jha-Johnson semifields
S Pumpluen
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.…
The automorphisms of Petit's algebras
Christian Brown, Susanne Pumpluen
Let be an automorphism of a field with fixed field . We study the automorphisms of nonassociative unital algebras which are canonical generalizations of the associative…
Diagonal forms of higher degree over function fields of -adic curves
Susanne Pumpluen
We investigate diagonal forms of degree over the function field of a smooth projective -adic curve: if a form is isotropic over the completion of with respect to eac…
Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings
Christian Brown, Susanne Pumpluen, Andrew Steele
We study the automorphisms of Jha-Johnson semifields obtained from an invariant irreducible twisted polynomial , where is a finite field and a…
Solvable crossed product algebras revisited
Christian Brown, Susanne Pumpluen
For any central simple algebra over a field F which contains a maximal subfield M with non-trivial F-automorphism group G, G is solvable if and only if the algebra contains a finit…