25.Intersection of subgroups of a Group G is again a Subgroup of G

intersection of subgroups of a Group G is again a Subgroup of G
Subgroup Test Example Solved
Subgroup Test Theorem fully explained and Proved
Subgroup Test Theorem fully explained and Proved
The set Gl2(R) of non-singular matrices is group under multiplication
If G is abelian then (ab)^n=a^nb^n, for all a,b in G (Proof by mathematical induction)
Show that a group is abelian if and only if (ab)^2=a^2b^2 for all a,b in G
If G is a group such that x.x=e for all x∈G then G is an abelian group
Show that the set {1,2,4,5,7,8} is Group under multiplication modulo 9
If order of element x is odd then there exists element y such that y^2=x
Show that a group of even order has an element of order 2
Orders of a and b^-1ab are equal (proof)
Orders of a and a^-1 are equal | Orders of element and its inverse are same
In this video you will learn Order of a group | Order of an element | Fully Concept Explained | Must watch
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