Solution-Classes for this relation are called conjugacy

Classes for this relation are called conjugacy classes

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Reference no: EM131237764

Elements x and y of a group G are called conjugate if y = z-1xz for some z ∈ G.

(a) Show that ab and ba are conjugate for any a, b ∈ G.

(b) Define a relation R on G by (x, y) ∈ R if and only if x and y are conjugate inG. Show that R is an equivalence relation. The equivalence classes for this relation arecalled conjugacy classes.

Reference no: EM131237764

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Classes for this relation are called conjugacy classes : (a) Show that ab and ba are conjugate for any a, b ∈ G. (b) Define a relation R on G by (x, y) ∈ R if and only if x and y are conjugate inG. Show that R is an equivalence relation. The equivalence classes for this relation arecalled conjugacy clas..

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Classes for this relation are called conjugacy classes

Reference no: EM131237764

Reference no: EM131237764

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