Difference between revisions of "Abelian Group"

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[[Category:Other Questions]]
 
[[Category:Other Questions]]
 
[[Category: Algorithms & Data Structures]]
 
[[Category: Algorithms & Data Structures]]

Revision as of 21:41, 9 December 2013

Let <math>G{e,a,b,c}</math> be an abelian group with <math>'e'</math> as an identity element. The order of the other elements are:

(A)2,2,3

(B)3,3,3

(C)2,2,4

(D)2,3,4

Solution

e e a b c
e e a b c
a a e b b
b b c e e
c c b e a




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Let <math>G{e,a,b,c}</math> be an abelian group with <math>'e'</math> as an identity element. The order of the other elements are:

(A)2,2,3

(B)3,3,3

(C)2,2,4

(D)2,3,4

Solution[edit]

e e a b c
e e a b c
a a e b b
b b c e e
c c b e a

_____________________ |___|_e_|_a_|_b_|_c_| |_e_|_e_|_a_|_b_|_c_| |_a_|_a_|_e_|_b_|_b_| |_b_|_b_|_c_|_e_|_e_| |_c_|_c_|_b_|_e_|_a_|