Commit 2022-10-24 07:29 3882aaf6
View on Github →feat(group_theory/index): criterion for subgroups of index two (#16629)
- A subgroup has index two if and only if there exists
asuch that for allb,b * a ∈ His equivalent tob ∉ H. - For a subgroup of index two,
a * b ∈ H ↔ (a ∈ H ↔ b ∈ H).