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Fields of characteristic 2 with prescribedu-invariants

✍ Scribed by P. Mammone; J. -P. Tignol; A. Wadsworth

Publisher
Springer
Year
1991
Tongue
English
Weight
964 KB
Volume
290
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES

Invariants of 2Γ—2-Matrices over Finite F
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✍ Larry Smith πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 114 KB

Let F q be the finite field with q elements, q ΒΌ p n ; p 2 N a prime, and Mat 2:2 Γ°F q Þ the vector space of 2 Γ‚ 2-matrices over F. The group GLΓ°2; FÞ acts on Mat 2;2 Γ°F q Þ by conjugation. In this note, we determine the invariants of this action. In contrast to the case of an infinite field, where

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We study the parity of the number of irreducible factors of trinomials over Galois fields of characteristic 2. As a consequence, some sufficient conditions for a trinomial being reducible are obtained. For example, x n Ο© ax k Ο© b Κ¦ GF(2 t )[x] is reducible if both n, t are even, except possibly when