#3383 ⟨a, b | aaaababaaa=b⟩

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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. a4bab2 ⇒ (ba)3a2 [2]
2. a3(ab)3 ⇒ ba(ab)2a3 [3]
3. a4baba2b ⇒ ba3baba3 [4]
4. a4baba3 ⇒ b [1]
# ab:aaaababaaa=b ba - -
aaaababb=bababaaa
aaaababab=baababaaa
aaaababaab=baaababaaa
aaaababaaa=b

Other submonoids of same group

2 unique, 2 total

Σ#PresentationProperties
101853⟨a, b | aaaabaaa=bb⟩Can Inf
114428⟨a, b | aaaabaaa=bab⟩Can Inf

Other submonoids of anti-isomorphic group

1 unique, 1 total

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