#1972 ⟨a, b | aababbaa=bb⟩

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  1. Properties
  2. Rewriting system
  3. Other submonoids of same group
  4. Other submonoids of anti-isomorphic 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. a2bab2a2 ⇒ b2 [1]
2. b3ab2a2 ⇒ a2bab4 [2]
3. b(ba)2b2a2 ⇒ a2b(ab2)2 [3]
# ab:aababbaa=bb ab
aababbaa=bb
bbbabbaa=aababbbb
bbababbaa=aababbabb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
115173⟨a, b | aababaa=babb⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
113616⟨a, b | aababbbaba=b⟩Infinite cancellative non-commutative monoid