#1397 ⟨a, b | aabb=a, bbbb=1⟩

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Properties

Complete 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
  1. a3 ⇒ a
  2. ab2 ⇒ a2
  3. b4 ⇒ 1 
# ab:aabb=a,bbbb=1 ab
aaa=a
abb=aa
bbbb=1

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

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

2 total

Σ#PresentationMapping
1111063⟨a, b | abbb=aab, bbbb=1⟩φ(a) = a, φ(b) = b
1111092⟨a, b | babb=baa, bbbb=1⟩φ(a) = a, φ(b) = b