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Recent questions tagged group-homomorphism
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Group theory
A homomorphism $f:G$ to $G1$ of groups is a monomorphism iff Ker $f = \{e\}$.
Sammohan Ganguly
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Set Theory & Algebra
May 29, 2018
by
Sammohan Ganguly
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engineering-mathematics
discrete-mathematics
group-theory
group-homomorphism
group-monomorphism
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1
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GATE CSE 1988 | Question: 13ic
Verify whether the following mapping is a homomorphism. If so, determine its kernel. $f(x)=x^3$, for all $x$ belonging to $G$.
go_editor
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Set Theory & Algebra
Dec 20, 2016
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go_editor
390
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gate1988
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descriptive
group-theory
group-homomorphism
out-of-gate-syllabus
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GATE CSE 1988 | Question: 13ib
Verify whether the following mapping is a homomorphism. If so, determine its kernel. $\overline{G}=G$
go_editor
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Graph Theory
Dec 20, 2016
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go_editor
303
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gate1988
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group-homomorphism
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GATE CSE 1988 | Question: 13ia
Verify whether the following mapping is a homomorphism. If so, determine its kernel. $G$ is the group of non zero real numbers under multiplication.
go_editor
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Set Theory & Algebra
Dec 20, 2016
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go_editor
298
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gate1988
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group-homomorphism
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