#27129 ⟨a, b | aa=1, ababbbb=bb⟩

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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. a2 ⇒ 1
  2. bab2 ⇒ ab3
  3. b5 ⇒ b2 
# ab:aa=1,ababbbb=bb ab
aa=1
babb=abbb
bbbbb=bb

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.

3 total

Σ#PresentationMapping
1127148⟨a, b | aa=1, abbabbb=bb⟩φ(a) = a, φ(b) = b
1127743⟨a, b | aa=1, babbbb=abb⟩φ(a) = a, φ(b) = b
1127757⟨a, b | aa=1, bbabbb=abb⟩φ(a) = a, φ(b) = b