Recent questions tagged group-homomorphism

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Group theory
A homomorphism $f:G$ to $G1$ of groups is a monomorphism iff Ker $f = \{e\}$.

A homomorphism $f:G$ to $G1$ of groups is a monomorphism iff Ker $f = \{e\}$.

Sammohan Ganguly

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Sammohan Ganguly asked May 29, 2018

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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 $G$.

Verify whether the following mapping is a homomorphism. If so, determine its kernel.$f(x)=x^3$, for all $x$ belonging to $G$.

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go_editor asked Dec 20, 2016

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3

GATE CSE 1988 | Question: 13ib
Verify whether the following mapping is a homomorphism. If so, determine its kernel. $\overline{G}=G$

Verify whether the following mapping is a homomorphism. If so, determine its kernel.$\overline{G}=G$

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go_editor asked Dec 20, 2016

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4

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.

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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go_editor asked Dec 20, 2016

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