#27639 ⟨a, b | aa=1, ababab=bab

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 ⇒ bab [5]
3. b(ab)2 ⇒ (ab)2 [3]
# ab:aa=1,ababab=bab ab
aa=1
bbab=bab
babab=abab

Isomorphic instances

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

1 total

Σ#PresentationMapping
1128254a, b | aa=1, babab=ababφ(a) = a, φ(b) = b