If Gp is a Sylow p -subgroup of a group G and Hp is a Sylow p subgroup of a group H, prove that

Name: Problem 48, Chapter 24: Contemporary Abstract Algebra
Uploaded: 2022-03-31T12:03:09-08:00
Duration: 1 min 7 s
Channel: Varsha Aggarwal
Description: If Gp is a Sylow p -subgroup of a group G and Hp is a Sylow p subgroup of a group H, prove that Gp ⊕Hp is a Sylow p -subgroup of G ⊕H.

Question

Varsha Aggarwal · Accepted Answer

step 1 So, if x1, x2 belongs to k, then x1, x2, square equal x1 square, x2, belonging to h. Thus, x1, x

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