Question

what is a an abelian group?

Answer 1

an abelian group is a group whose operation is commutative

Answer 2

i dont get it??

Answer 3

these is the commutative property of addition
\[ \large a+b=b+a \]
if u have a general operation, say *, then it would be
\[ \large a*b=b*a \]
when this holds in a group, the group is called abelian

Answer 4

k.....i got it...then what is a group?

Answer 5

a group is a set with an operation * which satisfies the following conditions:
(i) given any \(a\) and \(b\) in the set, \(a*b\) has to bet in the set closure property
(ii) \(a*(b*c)=(a*b)*c\) associative property
(iii) there is an element \(e\) in the set such that
\(e*a=a*e=a\) for every \(a\) neutral element
(iv) for every \(a\) in the set there is another element \(a'\) in the
set such that \(a*a'=a'*a=e\) inverse element

Answer 6

itz make sense dear

Answer 7

good