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GATE198813ic
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Verify whether the following mapping is a homomorphism. If so, determine its kernel.
$f(x)=x^3$, for all $x$ belonging to $G$.
gate1988
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grouptheory
grouphomomorphism
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asked
Dec 20, 2016
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Set Theory & Algebra
by
jothee

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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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GATE198813ib
Verify whether the following mapping is a homomorphism. If so, determine its kernel. $\bar{G}=G$
asked
Dec 20, 2016
in
Graph Theory
by
jothee

122
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gate1988
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grouptheory
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+2
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2
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GATE19882xviii
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.
asked
Dec 19, 2016
in
Set Theory & Algebra
by
jothee

339
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gate1988
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grouptheory
+3
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4
GATE198813iii
Are the two digraphs shown in the above figure isomorphic? Justify your answer.
asked
Dec 20, 2016
in
Graph Theory
by
jothee

398
views
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gate1988
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graphtheory
graphisomorphism
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