#5125 ⟨a, b | aabaaab=baaa⟩

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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. c2b ⇒ bac [5]
2. a2cb ⇒ c [4]
3. ba3 ⇒ c [2]
4. ca3 ⇒ a2c2 [7]
5. cacb ⇒ ba2c [6]
# ab:aabaaab=baaa abc baaa=c magic:0
ccb=bac
aacb=c
baaa=c
caaa=aacc
cacb=baac

Other submonoids of same group

6 unique, 6 total

Σ#PresentationProperties
8511⟨a, b | aaabb=baa⟩Can Inf
8582⟨a, b | baaa=aabb⟩Can Inf
91045⟨a, b | aaabab=baa⟩Can Inf
102163⟨a, b | aaabaab=baa⟩Can Inf
114487⟨a, b | aaabaaab=baa⟩Can Inf
115875⟨a, b | ababab=babaa⟩Can Inf

Other submonoids of anti-isomorphic group

3 unique, 3 total

Σ#PresentationProperties
91215⟨a, b | aabab=baaa⟩Can Inf
102487⟨a, b | aabaab=baaa⟩Can Inf
115185⟨a, b | aababab=baba⟩Can Inf