#1812 ⟨a, b | abbabbbba=b⟩

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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. ab2ab5 ⇒ b3ab4a [2]
2. ab2ab4a ⇒ b [1]
# ab:abbabbbba=b ba - -
abbabbbbb=bbbabbbba
abbabbbba=b

Other submonoids of same group

4 unique, 18 total

Σ#PresentationPropertiesφ
8536⟨a, b | aabba=bbb⟩Can Inf
9992⟨a, b | ababbba=bb⟩Can Inf
101312⟨a, b | aaaabaabba=1⟩Grp Inf14
115698⟨a, b | aababa=babab⟩Can Inf

Other submonoids of anti-isomorphic group

3 unique, 3 total

Σ#PresentationProperties
8464⟨a, b | aabbba=bb⟩Can Inf
9856⟨a, b | ababbbba=b⟩Can Inf
114648⟨a, b | aabababa=bab⟩Can Inf