#11510 ⟨a, b | ababa=a, bbaaa=1⟩

Up:Monoids with two generators and two relations
Prev:#11420 ⟨a, b | aabba=a, bbbbb=1⟩
Next:#11513 ⟨a, b | ababa=a, bbbbb=1⟩

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. (ba)2 ⇒ 1
  2. b2a3 ⇒ 1 
# ab:ababa=a,bbaaa=1 ab
baba=1
bbaaa=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.

1 total

Σ#PresentationMapping
1117506⟨a, b | abab=1, aabbba=a⟩φ(a) = b, φ(b) = a