#7138 ⟨a, b | bb=aa, aaaa=aa⟩

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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. b2 ⇒ a2
  2. ba2 ⇒ a2b
  3. a4 ⇒ a2 
# ab:bb=aa,aaaa=aa ab
bb=aa
baa=aab
aaaa=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
107140⟨a, b | bb=aa, aaaa=bb⟩φ(a) = a, φ(b) = b
107149⟨a, b | bb=aa, aabb=aa⟩φ(a) = a, φ(b) = b
107155⟨a, b | bb=aa, abba=aa⟩φ(a) = a, φ(b) = b
107157⟨a, b | bb=aa, abba=bb⟩φ(a) = a, φ(b) = b