#2041 ⟨a, b | abaababa=bb⟩

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Contents

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group
  4. Other submonoids of anti-isomorphic group

Properties

Rewriting system

Format:
Word:
Enter a word above to compute its normal form. Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Strategy:
Result: 1 
1
#RuleProof
1. b(ba)3 ⇒ aba2b3 [2]
2. (aba)2ba ⇒ b2 [1]
3. b3a2(ba)2 ⇒ (aba)2b3 [3]
# ab:abaababa=bb ab - -
bbababa=abaabbb
abaababa=bb
bbbaababa=abaababbb

Other submonoids of same group

2 unique, 15 total

Σ#PresentationPropertiesφ
9664⟨a, b | aabaabbba=1⟩Grp Inf13
9820⟨a, b | aabbabba=b⟩Can Inf

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationProperties
102587⟨a, b | abaaba=babb⟩Can Inf