#4115 ⟨a, b | aababaaba=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. b3a2ba ⇒ a2bab3 [2]
2. a2b(aba)2 ⇒ b2 [1]
3. b(ba)3aba ⇒ a(ab)2a2b3 [3]
# ab:aababaaba=bb ab - -
bbbaaba=aababbb
aababaaba=bb
bbababaaba=aababaabbb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationProperties
115144⟨a, b | aabaaba=babb⟩Can Inf

Other submonoids of anti-isomorphic group

2 unique, 8 total

Σ#PresentationPropertiesφ
113048⟨a, b | aabaabbbaba=1⟩Grp Inf6
113655⟨a, b | aabbabbaba=b⟩Can Inf