#553 ⟨a, b | aba=b, aaaa=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. a4 ⇒ 1
  2. ab ⇒ ba3 
# ab:aba=b,aaaa=1 a/b
aaaa=1
ab=baaa

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
103980⟨a, b | abbb=ba, bbbb=1⟩φ(a) = b, φ(b) = a
103993⟨a, b | babb=ab, bbbb=1⟩φ(a) = b, φ(b) = a