Solution-Find the order of G, Let R be the ring of all 2 X

Find the order of G

Reference no: EM132012275

Assignment Topic - Abstract Algebra

Q1: Let R be the ring of all 2 X 2 matrices over Z_p, p is a prime. Let G be the set of elements x in the ring R such that det(x) ≠ 0. Find the order of G.

Q2: If R is a commutative ring with 1 and R has no ideals other than (0) and itself, prove that R is a field.

Q3: Let G be a non-abelian group of order 6. Prove that G ≈ S₃.

Reference no: EM132012275

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Find the order of G : Let R be the ring of all 2 X 2 matrices over Zp, p is a prime. Let G be the set of elements x in the ring R such that det(x) ? 0. Find the order of G

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Find the order of G

Reference no: EM132012275

Reference no: EM132012275

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