A group (M,*) is said to be abelian if ___________(a) (x+y)=(y+x)(b) (x*y)=(y*x)(c) (x+y)=x(d) (y*x)=(x+y)I have been asked this question during an internship interview.The doubt is from Group Theory topic in division Groups of Discrete Mathematics

A group (M,*) is said to be abelian if ___________(a) (x+y)=(y+x)(b) (

1.	A group (M,) is said to be abelian if ___________(a) (x+y)=(y+x)(b) (xy)=(yx)(c) (x+y)=x(d) (yx)=(x+y)I have been asked this question during an internship interview.The doubt is from Group Theory topic in division Groups of Discrete Mathematics
Answer» The CORRECT answer is (b) (xy)=(yx) To elaborate: A group (M,) is SAID to be ABELIAN if (xy) = (x*y) for all x, y belongs to M. Thus Commutative PROPERTY should hold in a group.

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A group (M,*) is said to be abelian if ___________(a) (x+y)=(y+x)(b) (x*y)=(y*x)(c) (x+y)=x(d) (y*x)=(x+y)I have been asked this question during an internship interview.The doubt is from Group Theory topic in division Groups of Discrete Mathematics

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A group (M,) is said to be abelian if ___________(a) (x+y)=(y+x)(b) (xy)=(yx)(c) (x+y)=x(d) (yx)=(x+y)I have been asked this question during an internship interview.The doubt is from Group Theory topic in division Groups of Discrete Mathematics