#860 ⟨a, b | abbaabba=b⟩

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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. c2a ⇒ ac2
  2. a(ca)4 ⇒ c
  3. b ⇒ (ac)2 
# ab:abbaabba=b ac/b bba=c frequency:3/0
cca=acc
acacacaca=c
b=acac

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
101786⟨a, b | ababababa=b⟩φ(a) = a, φ(b) = c