#5436 ⟨a, b | aaaa=1, aabbbb=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. ba2 ⇒ a2b
  2. a4 ⇒ 1
  3. b4 ⇒ a2 
# ab:aaaa=1,aabbbb=1 ab
baa=aab
aaaa=1
bbbb=aa

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.

3 total

Σ#PresentationMapping
105446⟨a, b | aaaa=1, abbbba=1⟩φ(a) = a, φ(b) = b
105451⟨a, b | aaaa=1, baabbb=1⟩φ(a) = a, φ(b) = b
105455⟨a, b | aaaa=1, bbaabb=1⟩φ(a) = a, φ(b) = b