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Abstract Algebra & College Mathematics

par Jude · 14/05/2026 · 10 vues · 0 partages

Groups, rings, fields, linear algebra and advanced college math — math major coursework and Math GRE prep.
30
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🇬🇧 English
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🔴 Difficile
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  1. 1. Find the degree for the given field extension Q(sqrt(2), sqrt(3), sqrt(18)) over Q.
  2. 2. Let p = (1, 2, 5, 4)(2, 3) in S_5 . Find the index of

    in S_5.

  3. 3. Find all zeros in the indicated finite field of the given polynomial with coefficients in that field. x^5 + 3x^3 + x^2 + 2x in Z_5
  4. 4. Statement 1 | A factor group of a non-Abelian group is non-Abelian.
    Statement 2 | If K is a normal subgroup of H and H is a normal subgroup of G, then K is a normal subgroup of G.
  5. 5. Find the product of the given polynomials in the given polynomial ring. f(x) = 4x - 5, g(x) = 2x^2 - 4x + 2 in Z_8[x].

… et 25 autres questions.

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