#2610 ⟨a, b | ababba=babb⟩

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. abab2a ⇒ bab2 [1]
2. a(bab2)2 ⇒ (bab2)2a [2]
# ab:ababba=babb ba - -
ababba=babb
ababbbabb=babbbabba

Other submonoids of same group

4 unique, 9 total

Σ#PresentationPropertiesφ
8386⟨a, b | aabbaba=b⟩Can Inf
8591⟨a, b | babb=aaba⟩Can Inf
101410⟨a, b | aabaabbaba=1⟩Grp Inf5
101690⟨a, b | aababaaba=b⟩Can Inf