A group law for PKC purposes
نویسندگان
چکیده
Let F be a field, let V = F, and let A : V → V a linear map. The polynomial P (x) = det(x1I+x2A+x3A ) does not depend on A but only on its characteristic polynomial χ(X). A law of composition ⊕ : V ×V → V is defined and it induces an Abelian group law on FP 2 \ P(0). The cubic P(0) is irreducible if and only if χ is irreducible in F[X], and in this case the group law ⊕ is cyclic.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1802.00246 شماره
صفحات -
تاریخ انتشار 2018