#21731 ⟨a, b | aaa=1, ababbbb=b⟩

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Properties

Element profile

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. b13 ⇒ b
  2. b2ab ⇒ ab3
  3. a2b ⇒ bab4
  4. (ab)2 ⇒ b10
  5. a3 ⇒ 1 
# ab:aaa=1,ababbbb=b b/a
bbbbbbbbbbbbb=b
bbab=abbb
aab=babbbb
abab=bbbbbbbbbb
aaa=1

Right Cayley graph

Left Cayley graph

Other isomorphic instances

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

1 total

Σ#PresentationMapping
1121745⟨a, b | aaa=1, abbbabb=b⟩φ(a) = a, φ(b) = b