Note that 1225 = 5^2 x 7^2 Prove that every group of order 1225 has a normal abelian Sylow 5-subgroup.Prove that every group of order 1225 is abelian.Let E/F be a Galois extension of degree 1225. Prove that for every divisor d of 1225, Prove that every group of order 1225 has a normal abelian Sylow 5-subgroup.Prove that every group of order 1225 is abelian.Let E/F be a Galois extension of degree 1225. Prove that for every divisor d of 1225,

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Description: Note that 1225 = 5^2 x 7^2 Prove that every group of order 1225 has a normal abelian Sylow 5-subgroup.Prove that every group of order 1225 is abelian.Let E/F be a Galois extension of degree 1225. Prove that for every divisor d of 1225, Prove that eve

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Prove that every group of order 1225 has a normal abelian Sylow 5-subgroup.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.7: Direct Sums (optional)

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Note that 1225 = 5^2 x 7^2

Prove that every group of order 1225 has a normal abelian Sylow 5-subgroup.
Prove that every group of order 1225 is abelian.
Let E/F be a Galois extension of degree 1225. Prove that for every divisor d of 1225,

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