#1147 ⟨a, b | aaaaa=babb⟩

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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. abab2 ⇒ bab2a [2]
2. a5 ⇒ bab2 [1]
# ab:aaaaa=babb ba - -
ababb=babba
aaaaa=babb

Other submonoids of same group

3 unique, 9 total

Σ#PresentationPropertiesφ
101297⟨a, b | aaaaababba=1⟩Grp Inf6
102614⟨a, b | ababba=bbbb⟩Can Inf
114878⟨a, b | abbabbba=bbb⟩Can Inf

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationProperties
9830⟨a, b | aabbbbba=b⟩Can Inf