#516 ⟨a, b | aab=a, 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. a2b ⇒ a
  2. (ab)2 ⇒ 1 
# ab:aab=a,abab=1 ab
aab=a
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.

4 total

Σ#PresentationMapping
103835⟨a, b | aaba=aa, abab=1⟩φ(a) = a, φ(b) = b
103962⟨a, b | abba=ab, baba=1⟩φ(a) = b, φ(b) = a
106051⟨a, b | aab=a, aabbab=1⟩φ(a) = a, φ(b) = b
106057⟨a, b | aab=a, abaabb=1⟩φ(a) = a, φ(b) = b