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Mathematics Homework Solutions
#64185
Group Theory (XLIII): Subgroups of the type gHg^-1: Let G be a group, H a subgroup of G. Let, for gєG, gHg^-1 = {ghg^-1|hєH}.Prove that gHg^-1 is a subgroup of G.
Modern Algebra
Group Theory (XLIII)
Subgroups of a Group
Subgroups of the type gHg^-1
Let G be a group, H a subgroup of G. Let, for gєG, gHg^-1 = {ghg^-1|hєH}.
Prove that gHg^-1 is a subgroup of G.
This solution is comprised of a detailed explanation to prove that gHg^-1 is a subgroup of G.
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