Theorems · Theorem · group theory

HNNExtension.NormalWord.ReducedWord.chain

∀ {G : Type u_1} [inst : Group G] {A B : Subgroup G} (self : HNNExtension.NormalWord.ReducedWord G A B),
  List.IsChain (fun a b => a.2 ∈ HNNExtension.toSubgroup A B a.1 → a.1 = b.1) self.toList

There are no sequences of the form t^u * g * t^-u where g ∈ toSubgroup A B u.

Defined in

Mathlib.GroupTheory.HNNExtension

Cited by

4 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext

Assumes

Group