#1494 ⟨a, b | abaababaab=1⟩

Up:Monoids with two generators and one relation
Prev:#1491 ⟨a, b | abaabaaaab=1⟩
Next:#1496 ⟨a, b | abaababbab=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. ba2(ba)2 ⇒ (ab)2a2b
  2. (a(ab)2)2 ⇒ 1 
# ab:abaababaab=1 ab
baababa=ababaab
aababaabab=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
101509⟨a, b | ababaababa=1⟩φ(a) = a, φ(b) = b