#3406 ⟨a, b | aaaabbabaa=b⟩

Contents

  1. Properties
  2. Rewriting system
  3. Other submonoids of same 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. a3(ab2)2 ⇒ ba2b2aba2 [2]
2. a4b2(ab)2 ⇒ ba3b2aba2 [3]
3. a4b2aba2 ⇒ b [1]
# ab:aaaabbabaa=b ba - -
aaaabbabb=baabbabaa
aaaabbabab=baaabbabaa
aaaabbabaa=b

Other submonoids of same group

1 unique, 1 total

Σ#PresentationProperties
114958⟨a, b | aaaabaa=babb⟩Can Inf