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GATE198813ib
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77
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Verify whether the following mapping is a homomorphism. If so, determine its kernel.
$\bar{G}=G$
gate1988
normal
descriptive
groups
grouphomomorphism
nongate
asked
Dec 20, 2016
in
Graph Theory
by
jothee
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96.1k
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GATE19885ii
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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.
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GATE198817iiiiii
The following table gives the cost of transporting one tonne of goods from the origins A, B, C to the destinations F, G, H. Also shown are the availabilities of the goods at the origins and the requirements at the destinations. The transportation problem ... i). For the solution of (ii) above, calculate the values of the duals and determine whether this is an optimal solution.
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GATE198814ii
Consider the following wellformed formula: $\exists x \forall y [ \neg \exists z [ p (y, z) \wedge p (z, y) ] \equiv p(x,y)]$ Show using resolution principle that the wellformed formula, given above, cannot be satisfied for any interpretation.
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