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Quotient group: Revision history

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9 April 2026

5 April 2026

  • curprev 16:1816:18, 5 April 2026 InfernalAtom683 talk contribs 914 bytes +914 Created page with "A '''quotient group''' is a group obtained by aggregating similar elements of a larger group using an equivalence relation that preserves some of the group structure. == Definitions == Let <math>G</math> be a group and <math>N\trianglelefteq G</math> a normal subgroup. === Definition via cosets === The quotient group <math>G/N</math> is the set of left cosets <math display="block">G/N:=\{gN\mid g\in G\}</math>with group operation <math>(gN)(hN):=(gh)N.</math> === Defi..." Tag: Visual edit
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