G is a finite group.If a belongs to G then order of a divides order of G

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In a finite group, the order of each element of the group divides the
order of the group
if G is a finite group and a is the any element of a then order of a divides order of g
i.e. O(a)/O(g)
Lagrange’s Theorem†: |H| Divides |G|
If G is a finite group and H is a subgroup of G, then |H| divides |G|.
Moreover, the number of distinct left (right) cosets of H in G is |G|/|H|
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#finitegroup
#skclasses
#bscmathematics
#mathematics
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[@ramchandrapanda5417]

Nice

[@anonymous-to2qi]

You can't prove this until you prove that H has all distinct elements.

[@muhammadkashifkashifkhan4382]

thanks sir nice iecthure

[@chunmunchunmun2390]

the class equation of G is O(G) = € O(G) /O[N(a)] , the summation being extended overe one element a in each conjugate class) sir kya app iska prove karwa sakta ho apni video mai please

[@divine_soul_66]

Thanks sir.. apki voice so sweet

[@PathFindersAcademy]

Thanks a lot I really appreciate it

[@kookie7802]

But o(G)/o(H) right??

[@nishant8006]

It is Lagrange theorem