#16589 ⟨a, b | aaaa=1, aabbbbb=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. b5 ⇒ a2 
# ab:aaaa=1,aabbbbb=1 ab
baa=aab
aaaa=1
bbbbb=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.

4 total

Σ#PresentationMapping
1116610⟨a, b | aaaa=1, abbbbba=1⟩φ(a) = a, φ(b) = b
1116619⟨a, b | aaaa=1, baabbbb=1⟩φ(a) = a, φ(b) = b
1116627⟨a, b | aaaa=1, bbaabbb=1⟩φ(a) = a, φ(b) = b
1117685⟨a, b | aaaa=1, bbbbb=aa⟩φ(a) = a, φ(b) = b