#2587 ⟨a, b | abaaba=babb⟩

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Quick links

  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. bab2 ⇒ (aba)2 [1]
2. a(ba2)2b2 ⇒ (ba)3aba [2]
# ab:abaaba=babb a/b
babb=abaaba
abaabaabb=bababaaba

Other submonoids of same group

2 unique, 15 total

Σ#PresentationDescriptionRelated
9664⟨a, b | aabaabbba=1⟩Infinite non-Abelian group6 iso, 7 anti-iso
9820⟨a, b | aabbabba=b⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
102041⟨a, b | abaababa=bb⟩Infinite cancellative non-commutative monoid