#9324 ⟨a, b | ab=a, baaa=baa

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. aba
  2. a4a3
  3. ba3ba2
# ab:ab=a,baaa=baa ab
ab=a
aaaa=aaa
baaa=baa

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.

5 total

Σ#PresentationMapping
1125544a, b | ab=a, baaab=baaφ(a) = a, φ(b) = b
1125552a, b | ab=a, baaba=baaφ(a) = a, φ(b) = b
1125568a, b | ab=a, babaa=baaφ(a) = a, φ(b) = b
1125836a, b | ab=a, baab=baaaφ(a) = a, φ(b) = b
1125845a, b | ab=a, baba=baaaφ(a) = a, φ(b) = b