#3612 ⟨a, b | aababbabba=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. a2bab2ab3 ⇒ (ba)2(b2a)2 [2]
2. a2ba(b2a)2 ⇒ b [1]
# ab:aababbabba=b ba - -
aababbabbb=bababbabba
aababbabba=b

Other submonoids of same group

2 unique, 8 total

Σ#PresentationPropertiesφ
113040⟨a, b | aabaababbba=1⟩Grp Inf6
115146⟨a, b | aabaaba=bbab⟩Can Inf

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationProperties
114091⟨a, b | aabaababa=bb⟩Can Inf