#2996 ⟨a, b | ab=a, bbbba=a

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. b4aa
# ab:ab=a,bbbba=a ab
ab=a
bbbba=a

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.

6 total

Σ#PresentationMapping
108834a, b | ab=a, bbbbab=aφ(a) = a, φ(b) = b
109105a, b | ab=a, bbbba=abφ(a) = a, φ(b) = b
1115844a, b | aba=ab, aaaab=bφ(a) = b, φ(b) = a
1124578a, b | ab=a, bbbbabb=aφ(a) = a, φ(b) = b
1125105a, b | ab=a, bbbbab=abφ(a) = a, φ(b) = b
1125647a, b | ab=a, bbbba=abbφ(a) = a, φ(b) = b