#1387 ⟨a, b | aabb=a, abab=1⟩

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  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. a2b2 ⇒ a [1]
2. (ab)2 ⇒ 1 [2]
# ab:aabb=a,abab=1 ab
aabb=a
abab=1

Isomorphic instances

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

1 total

Σ#PresentationMapping
1118032⟨a, b | abab=1, aabba=aa⟩φ(a) = a, φ(b) = b