#28179 ⟨a, b | aa=1, ababb=bbab

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. a2 ⇒ 1 [1]
2. b2ab ⇒ abab2 [2]
3. (ba)3b2 ⇒ (ab)3b2 [4]
# ab:aa=1,ababb=bbab reversed:a/b
aa=1
bbab=ababb
babababb=abababbb

Isomorphic instances

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

1 total

Σ#PresentationMapping
1128193a, b | aa=1, abbab=babbφ(a) = a, φ(b) = b