Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings
Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings
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从斜多项式环得到的 Jha-Johnson 半域的自同构和同构
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
A. Steele
中科院分区：
文献类型：
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作者：
C. Brown;S. Pumplün;A. Steele
研究了由右不变不可约扭曲多项式f∈K[t]得到的Jha-Johnson半域的自同构；σ]，其中是一个有限域，σ是K的n阶自同构，特别强调了Sandler半域和Hughes-Kleinfeld半域的内自同构和自同构。我们包括一些Knuth半域的自同构（它们不是由歪斜多项式环产生的）。还考虑了Jha-Johnson半域之间的同构。
ABSTRACT We study the automorphisms of Jha-Johnson semifields obtained from a right invariant irreducible twisted polynomial f∈K[t;σ], where is a finite field and σ an automorphism of K of order n, with a particular emphasis on inner automorphisms and the automorphisms of Sandler and Hughes-Kleinfeld semifields. We include the automorphisms of some Knuth semifields (which do not arise from skew polynomial rings). Isomorphism between Jha-Johnson semifields are considered as well.