#4428 ⟨a, b | aaaabaaa=bab⟩

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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. a4b2ab ⇒ (ba)3a2 [2]
2. a4ba3 ⇒ bab [1]
3. a3(ab)3 ⇒ baba2ba3 [3]
4. a3(aba)2b ⇒ ba(ba3)2 [4]
# ab:aaaabaaa=bab ba - -
aaaabbab=bababaaa
aaaabaaa=bab
aaaababab=babaabaaa
aaaabaabab=babaaabaaa

Other submonoids of same group

1 unique, 1 total

Σ#PresentationProperties
101853⟨a, b | aaaabaaa=bb⟩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