If G is a group &a€G has order n,then a^m=1 iff n|m||group theory ||theorems||important for exams

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If a group G of order n has 2^(n -1) subgroups, then either n=1 or n=2. If a group G of order n has 2^(n -1) subgroups, then either n=1 or n=2.
theorem group theory :-If order of element a of group G is n then, a^m=e, iff m is multiple of n theorem group theory :-If order of element a of group G is n then, a^m=e, iff m is multiple of n
Group Theory | Subgroup | Subgroup Theorems | Discrete Mathematics Group Theory | Subgroup | Subgroup Theorems | Discrete Mathematics
group theory class16 (theorems) group theory class16 (theorems)
If the element If the element 'a' of a group G is of order n, then a^m =e iff n is a divisor of m || Group Theory.
IIT Bombay CSE 😍 #shorts #iit #iitbombay IIT Bombay CSE 😍 #shorts #iit #iitbombay
If If 'a' is an element of a group G such that 0(a)=n then a^m =e iff n/m
Prove that the set S={1,2,3,4,5}is not a group w. r. t multiplication modulo 6. Prove that the set S={1,2,3,4,5}is not a group w. r. t multiplication modulo 6.