#2347 ⟨a, b | abbaaab=baa⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. 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. c2ab ⇒ abc2 [7]
2. cbcab ⇒ bac [5]
3. abcab ⇒ c [4]
4. ba2 ⇒ c [2]
5. ca2 ⇒ abcac [6]
# ab:abbaaab=baa bc/a baa=c magic:0
ccab=abcc
cbcab=bac
abcab=c
baa=c
caa=abcac

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
101983⟨a, b | aabbaaab=ba⟩Infinite cancellative non-commutative monoid