#21214 ⟨a, b | aaa=1, abbbabbb=1⟩

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Properties

Complete rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
  1. a3 ⇒ 1
  2. bab3a ⇒ ab3ab
  3. b3aba2 ⇒ a2bab3
  4. b3ab3 ⇒ a2
  5. b3ab2a2 ⇒ a2b2ab3 
# ab:aaa=1,abbbabbb=1 ab
aaa=1
babbba=abbbab
bbbabaa=aababbb
bbbabbb=aa
bbbabbaa=aabbabbb

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

1 total

Σ#PresentationMapping
1121243⟨a, b | aaa=1, babbbabb=1⟩φ(a) = a, φ(b) = b