Видео ютуба по тегу Prove That There Exist An Element Y In G S.t Y^2=X

let G be a group & x be an element of odd order in G then for any element y in G their exist y^2=x

Lecture 18 | Let G be a group and x be an element of odd order in G then for any y in G y^2 =x exist

17. let G be a group and an element x has order odd in G their Exist an element y such that y^2=x

8.If order of element x is odd then there exists element y such that y^2=x

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Group theory, prove that the order of an element g in G is equal to the order of its inverse

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let g1g2 be two elements of a finite group G, then the order of g1g2 is the same as that of g2g1

9.In a group G | The identity element is unique | Inverse of each element is unique

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12. If G is a group such that x.x=e for all x∈G then G is an abelian group

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Let G be a group of even order. prove that there is at least one element of order 2 in G.