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GATE19882xviii
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Show that if $G$ is a group such that $(a, b)^2 = a^2.b^2$ for all $a, b$ belonging to $G$, then $G$ is an abelian.
gate1988
descriptive
groups
abeliangroup
asked
Dec 19, 2016
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Set Theory & Algebra
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jothee
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See if this could help!
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Oct 7
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Kushagra Gusain
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GATE198813ia
Verify whether the following mapping is a homomorphism. If so, determine its kernel. $G$ is the group of non zero real numbers under multiplication.
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gate1988
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Maths: Group Theory
Que: Which one of the following is not true? a) In a group (G,*), if a*a = a, then a=e, where e is an identity element. b) In a group (G,*), if x1 = x, ∀x ∈ G, then G is an Abelian group. c) In a group (G,*), if (a*b)2 = (a2*b2) then G ... *), if (a*b)n = (an*bn) then G is an Abelian group, where n={2, 3, 4, ......} PS: c) and d) seem correct to me.
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Nov 5
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Manu Thakur
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discretemathematics
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Abelian Group
Question IF ( G, * ) is an abelian group then discuss correctness of each of the options ... a) a = a1 for all a $\epsilon$ G b) a2 = a for all a $\epsilon$ G c) (a*b)2 = a2 * b2 for all a,b $\ ... // cancelling a using left cancellation law and b using right cancellation law Therefore G is abelian group Given statement is correct D) PLEASE HELP ME ..
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Jun 27, 2016
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pC
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Hi Guys, I think this is not correct. ISRO ...
NIELIT specifically mailed that they decided ...
is there any chances of changing the exam date??
ISRO and NIELIT Exam on the same day i.e 17th ...
greatly said @papesh sir
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