A note on the conjecture of the autotopism group of the Figueroa’s presemifields
Copyright policy )A note on the conjecture of the autotopism group of the Figueroa’s presemifields
In [4] was stated the following conjecture: If a Figueroa’s presemifield P(K; alfa; beta; A;B) admits an autotopism of order a p-primitive prime divisor of p^n-1, then its autotopism group is isomorphic to a subgroup of GL(K) x GL(K). In [5] this conjecture was settled under an additional normality condition. In this article, we show that the assumption in the hypothesis of the conjecture is necessary in the sense that there exist a Figueroa’s presemifield, that does not admit such autotopism, for which the conjecture is not met.
- University of Puerto Rico System United States
- National University of Trujillo Peru
figueroa’s presemifield, T57-57.97, Applied mathematics. Quantitative methods, semicuerpo de Cordero-Figueroa, finite presemifield, presemicuerpo de Figueroa, cordero-figueroa semifield, Figueroa’s presemifield, autotopism group, grupo autotopismo, Cordero-Figueroa semifield, QA1-939, finite semifield, Presemicuerpo finito, semicuerpo finito, Finite presemifield, Mathematics
figueroa’s presemifield, T57-57.97, Applied mathematics. Quantitative methods, semicuerpo de Cordero-Figueroa, finite presemifield, presemicuerpo de Figueroa, cordero-figueroa semifield, Figueroa’s presemifield, autotopism group, grupo autotopismo, Cordero-Figueroa semifield, QA1-939, finite semifield, Presemicuerpo finito, semicuerpo finito, Finite presemifield, Mathematics
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