#2508 ⟨a, b | aababa=bbab⟩

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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. a2(ba)2 ⇒ b2ab [1]
2. b(ba)4 ⇒ a2bab3ab [2]
# ab:aababa=bbab ab - -
aababa=bbab
bbabababa=aababbbab

Other submonoids of same group

3 unique, 9 total

Σ#PresentationPropertiesφ
9947⟨a, b | aababba=bb⟩Can Inf
112918⟨a, b | aaabaababba=1⟩Grp Inf6
113786⟨a, b | ababbabbba=b⟩Can Inf

Other submonoids of anti-isomorphic group

1 unique, 1 total

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