#9456 ⟨a, b | aa=1, abababab=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. a2 ⇒ 1 [1]
2. b(ab)3 ⇒ a [3]
# ab:aa=1,abababab=1 ab
aa=1
bababab=a

Isomorphic instances

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

1 total

Σ#PresentationMapping
109778a, b | aa=1, bababab=aφ(a) = a, φ(b) = b