#484 ⟨a, b | aabb=1, abab=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. a2b2 ⇒ 1
  2. (ab)2 ⇒ 1 
# ab:aabb=1,abab=1 ab
aabb=1
abab=1

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.

2 total

Σ#PresentationMapping
105880⟨a, b | aabb=1, ababa=a⟩φ(a) = a, φ(b) = b
105906⟨a, b | abab=1, aabba=a⟩φ(a) = a, φ(b) = b