#5444 ⟨a, b | aaaa=1, abbabb=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. bab2a ⇒ ab2ab
  3. b2ab2 ⇒ a3
  4. b2aba3 ⇒ a3bab2 
# ab:aaaa=1,abbabb=1 ab
aaaa=1
babba=abbab
bbabb=aaa
bbabaaa=aaababb

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
105453⟨a, b | aaaa=1, babbab=1⟩φ(a) = a, φ(b) = b