#2562 ⟨a, b | aabbba=bbbb⟩

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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. a2b3a ⇒ b4 [1]
2. b(b3a)2 ⇒ a2b7 [2]
# ab:aabbba=bbbb ab
aabbba=bbbb
bbbbabbba=aabbbbbbb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
114852⟨a, b | ababbbba=bbb⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationDescriptionRelated
102290⟨a, b | aabbbba=bbb⟩Infinite cancellative non-commutative monoid
114324⟨a, b | ababbbbba=bb⟩Infinite cancellative non-commutative monoid