What isConjugate element,Relation of conjugacy,Conjugate class & Self conjugate elements......(B.sc)
Fatima classes
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What isConjugate element,Relation of conjugacy,Conjugate class & Self conjugate elements......(B.sc)
6 576 просмотров · 6 лет назад
Fatima classes
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6 576 просмотров · 6 лет назад
*Conjugate Element :- If (G,o) be a group & a,b €G be the arbitrary elements ,then,b is said to be conjugate to a if there exist an element x€G such that b= x-'ax & denoted by b~a.
Again, the relation between them is said to be relation of conjugacy.
Conjugate Class :- If G be a finite Group & a€G be an arbitrary element, then, conjugate class of Ca or C(a) is the set of those elements of G which are conjugate to a.
*Self Conjugancy Elements : - An element 'a' of a group G is said to be self conjugate iff its conjugate class having only one element.
i.e. C(a) = {a}
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