Coset ↩

shorthands: {}
aliases: [coset, Left coset, left coset, right coset, Right coset]
created: 2021-12-06 12:29:10
modified: 2022-01-10 04:13:03

• is a left coset
• is a right coset

Properties

• For a given subgroup, each coset is represented by one of its elements
• Left or right cosets of the same subgroup are either the same or disjoint: if exists, then trivially
• Cosets are of the same cardinality (via bijection between the elements):
• because