#4084 ⟨a, b | baa=aab, abab=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. ac ⇒ 1
  2. ca ⇒ 1
  3. cb ⇒ abc2
  4. a2b ⇒ ba2
  5. bab ⇒ c 
# ab:baa=aab,abab=1 ac/b bab=c frequency:3/0
ac=1
ca=1
cb=abcc
aab=baa
bab=c

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.

1 total

Σ#PresentationMapping
105917⟨a, b | abab=1, abbba=b⟩φ(a) = b, φ(b) = a