#981 ⟨a, b | abaabba=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. aba2b2a ⇒ b2 [1]
2. b3a2b2a ⇒ aba2b4 [2]
# ab:abaabba=bb ab - -
abaabba=bb
bbbaabba=abaabbbb

Other submonoids of same group

3 unique, 9 total

Σ#PresentationPropertiesφ
112932⟨a, b | aaababaabba=1⟩Grp Inf6
113816⟨a, b | abbababbba=b⟩Can Inf
115856⟨a, b | abaaba=baabb⟩Can Inf

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationProperties
9845⟨a, b | abaabbba=b⟩Can Inf
114712⟨a, b | aabbabba=bab⟩Can Inf