#588 ⟨a, b | baba=aabb

Quick links

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group

Properties

Rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1
1
#RuleProof
1. a2b2 ⇒ (ba)2 [1]
# ab:baba=aabb ba
aabb=baba

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
102748a, b | baaba=aababInfinite cancellative non-commutative monoid