#3786 ⟨a, b | ababbabbba=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. abab2ab4 ⇒ (b2a)2b3a [2]
2. abab2ab3a ⇒ b [1]
# ab:ababbabbba=b ba - -
ababbabbbb=bbabbabbba
ababbabbba=b

Other submonoids of same group

2 unique, 8 total

Σ#PresentationPropertiesφ
9947⟨a, b | aababba=bb⟩Can Inf
112918⟨a, b | aaabaababba=1⟩Grp Inf6

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationProperties
9811⟨a, b | aababbba=b⟩Can Inf
102508⟨a, b | aababa=bbab⟩Can Inf