#15995 ⟨a, b | aaa=ab, aabb=ba⟩

Up:Monoids with two generators and two relations
Prev:#15994 ⟨a, b | aaa=ab, aabb=ab⟩
Next:#15996 ⟨a, b | aaa=ab, aabb=bb⟩

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 ⇒ a4
  2. ba ⇒ a6
  3. ab ⇒ a3 
# ab:aaa=ab,aabb=ba a/b
aaaaaaa=aaaa
ba=aaaaaa
ab=aaa

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
1116003⟨a, b | aaa=ab, abab=ba⟩φ(a) = a, φ(b) = b
1116007⟨a, b | aaa=ab, abba=ba⟩φ(a) = a, φ(b) = b