#932 ⟨a, b | aabaaba=bb⟩

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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. b(ba)2 ⇒ a2b3 [2]
2. (a2b)2a ⇒ b2 [1]
# ab:aabaaba=bb ab
bbaba=aabbb
aabaaba=bb

Other submonoids of same group

2 unique, 8 total

Σ#PresentationDescriptionRelated
101431⟨a, b | aababbabba=1⟩Infinite non-Abelian group6 iso
114602⟨a, b | aabaaaba=bab⟩Infinite cancellative non-commutative monoid