#8093 ⟨a, b | aaa=1, bbbb=abb⟩

Up:Monoids with two generators and two relations
Prev:#8089 ⟨a, b | aaa=1, babb=bbb⟩
Next:#8094 ⟨a, b | aaa=1, bbbb=bab⟩

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. b8 ⇒ b2
  2. ab2 ⇒ b4
  3. a3 ⇒ 1 
# ab:aaa=1,bbbb=abb b/a
bbbbbbbb=bb
abb=bbbb
aaa=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.

2 total

Σ#PresentationMapping
1122249⟨a, b | aaa=1, aabbbb=bb⟩φ(a) = a, φ(b) = b
1122280⟨a, b | aaa=1, abbabb=bb⟩φ(a) = a, φ(b) = b