#4659 ⟨a, b | aaab=a, abbb=a⟩

Up:Monoids with two generators and two relations
Prev:#4658 ⟨a, b | aaab=a, abba=b⟩
Next:#4664 ⟨a, b | aaab=a, baab=b⟩

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. a7 ⇒ a
  2. ab ⇒ a5 
# ab:aaab=a,abbb=a a/b
aaaaaaa=a
ab=aaaaa

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.

2 total

Σ#PresentationMapping
1112966⟨a, b | abb=aaa, aaab=a⟩φ(a) = a, φ(b) = b
1112978⟨a, b | abb=aaa, abbb=a⟩φ(a) = a, φ(b) = b