#2398 ⟨a, b | aaaaba=baab⟩

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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. a4ba ⇒ ba2b [1]
2. a4b2a2b ⇒ b(a2ba)2 [2]
# ab:aaaaba=baab ba - -
aaaaba=baab
aaaabbaab=baabaaaba

Other submonoids of same group

5 unique, 10 total

Σ#PresentationPropertiesφ
8423⟨a, b | aaaaba=bb⟩Can Inf
91022⟨a, b | aaaaba=bab⟩Can Inf
113068⟨a, b | aababababba=1⟩Grp Inf5
113771⟨a, b | ababababba=b⟩Can Inf
115486⟨a, b | aaaaba=baaab⟩Can Inf

Other submonoids of anti-isomorphic group

4 unique, 4 total

Σ#PresentationProperties
8354⟨a, b | aaaabba=b⟩Can Inf
9752⟨a, b | aaaababa=b⟩Can Inf
101584⟨a, b | aaaabaaba=b⟩Can Inf
113371⟨a, b | aaaabaaaba=b⟩Can Inf