Abstract Algebra: Theory and Applications · Problem 15.4.14

Rings — Thomas Judson

Mathematics — Abstract Algebra · sylow-theorems

Problem

Let HH be a subgroup of a finite group GG. Prove that gN(H)g−1=N(gHg−1)gN(H)g^{-1} = N(gHg^{-1}) for any g∈Gg \in G.

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