Answered: Suppose that H is a subgroup of G and…

Suppose that H is a subgroup of G and let G act by conjugation on the set X = {gHg-1 : g ∈ G}. Describe, as precisely as possible, the stabilizer of H under this action.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose that H is a subgroup of G and let G act by conjugation on the set X = {gHg^-1 : g ∈ G}. Describe, as precisely as possible, the stabilizer of H under this action.

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