Prove that if H is a subgroup of G and Q is a Sylow p-subgroup of...

Transcribed Image Text:

Prove that if H is a subgroup of G and Q is a Sylow p-subgroup of H, then gQg-¹ is a Sylow p-subgroup of gHg¹ for all g € G. Prove that if H is a subgroup of G and Q is a Sylow p-subgroup of H, then gQg-¹ is a Sylow p-subgroup of gHg¹ for all g € G.

Answer rating: 100% (QA)

Let p be a prime number and let G be a finite group Suppose H is a subgroup of G and Q is a ... View the full answer