#2327 ⟨a, b | ababaab=bba

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. ba ⇒ c [2]
2. bc ⇒ ac2ab [4]
# ab:ababaab=bba reversed:ac/b ba=c morph:2/0
ba=c
bc=accab

Other submonoids of same group

3 unique, 3 total

Σ#PresentationDescriptionRelated
9961a, b | aabbbab=baInfinite cancellative non-commutative monoid
102752a, b | baaba=abbabInfinite cancellative non-commutative monoid
114234a, b | abaaaabab=baInfinite cancellative non-commutative monoid