#939 ⟨a, b | aababaa=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. a(ab)2a2 ⇒ b2 [1]
2. b3aba2 ⇒ a2bab3 [2]
3. b(ba)3a ⇒ a(ab)3b [3]
# ab:aababaa=bb ab
aababaa=bb
bbbabaa=aababbb
bbababaa=aabababb

Other submonoids of same group

2 unique, 3 total

Σ#PresentationDescriptionRelated
101433⟨a, b | aababbbaba=1⟩Infinite non-Abelian group1 iso
114617⟨a, b | aabaabaa=bab⟩Infinite cancellative non-commutative monoid