#955 ⟨a, b | aabbaba=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. a2b(ba)2 ⇒ b2 [1]
2. (b2a)2ba ⇒ a2b2ab3 [2]
# ab:aabbaba=bb ab - -
aabbaba=bb
bbabbaba=aabbabbb

Other submonoids of same group

3 unique, 9 total

Σ#PresentationPropertiesφ
9824⟨a, b | aabbbaba=b⟩Can Inf
112922⟨a, b | aaabaabbaba=1⟩Grp Inf6
113790⟨a, b | ababbbabba=b⟩Can Inf

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationProperties
102506⟨a, b | aababa=babb⟩Can Inf