Quotient group

Quotient group
Tag	`0KYX2N69J0`
URI	`m2://0KYX2N69J0`
Aliases	`factor-group`
Kind	concept
Writing	W1 stated
MSC	20A05
Same as	Wikidata Q1138961 Wikipedia Quotient group

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Summary

The quotient group $G/N$ of a group $G$ by a normal subgroup $N$ is the set of cosets of $N$ , with the product $(aN)(bN) = abN$ . It collapses $N$ to the identity and keeps the rest of the structure of $G$ .

What this node needs for W2

edge instance_of in: at least two examples (1 of 2)
edge not_instance_of in: at least one non-example (0 of 1)
edge specializes both: the more general notions and the special cases (0 of 1)

The writing levels say how complete the text of a node is. They do not measure its truth.

Sources

Web https://en.wikipedia.org/wiki/Quotient_group, Definition

What links here

Instances

Integers modulo n as a quotient group 0YJ3WRR9RY

Definitions

Quotient group 0YYWCNTPWR