#3446 ⟨a, b | aaabaababa=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. a(a2b)2ab2 ⇒ (ba2)2(ba)2 [2]
2. a3ba2(ba)2 ⇒ b [1]
# ab:aaabaababa=b ba - -
aaabaababb=baabaababa
aaabaababa=b

Other submonoids of same group

2 unique, 2 total

Σ#PresentationProperties
9773⟨a, b | aaababba=b⟩Can Inf
115906⟨a, b | ababba=bbbab⟩Can Inf

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationProperties
91178⟨a, b | aaaba=bbab⟩Can Inf
101698⟨a, b | aabababba=b⟩Can Inf