#1853 ⟨a, b | aaaabaaa=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. b2 ⇒ a4ba3 [1]
2. a(a3b)2 ⇒ ba4ba3 [2]
# ab:aaaabaaa=bb a/b - -
bb=aaaabaaa
aaaabaaab=baaaabaaa

Other submonoids of same group

1 unique, 1 total

Σ#PresentationProperties
114428⟨a, b | aaaabaaa=bab⟩Can Inf

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationProperties
101596⟨a, b | aaaabbaaa=b⟩Can Inf
113383⟨a, b | aaaababaaa=b⟩Can Inf