#13281 ⟨a, b | aaaaa=1, aabaab=1⟩

Up:Monoids with two generators and two relations
Prev:#13272 ⟨a, b | bba=abb, bbb=bb⟩
Next:#13291 ⟨a, b | aaaaa=1, ababab=1⟩

Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances

Properties

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
#RuleProof
1. ba2b ⇒ a3 [3]
2. a5 ⇒ 1 [1]
# ab:aaaaa=1,aabaab=1 ab
baab=aaa
aaaaa=1

Isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

1 total

Σ#PresentationMapping
1113289⟨a, b | aaaaa=1, abaaba=1⟩φ(a) = a, φ(b) = b