conjugacy_class

introduction

%%visits: 3 ## intuition Equivalence classes are either identical or disjoint and because any element g ∈ G is in some conjugacy_class (g ∈ [g]_c) they form partition, but not equipartitions.

[e]_c = {e} so no other conjugacy_class is a subgroup.

Conjugation by an element g is a bijection: Let M(h) = ghg⁻¹ ## rigour conjugacy_clas := The conjugacy class of a is defined as [a]_c = {gag⁻¹|∀g ∈ G} ## exam clinic ## examples and non-examples ## resources tags :math:

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