#6930 ⟨a, b | bb=aa, aaaaaa=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. b2 ⇒ a2
  2. ba2 ⇒ a2b
  3. a6 ⇒ 1 
# ab:bb=aa,aaaaaa=1 ab
bb=aa
baa=aab
aaaaaa=1

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.

6 total

Σ#PresentationMapping
106933⟨a, b | bb=aa, aaaabb=1⟩φ(a) = a, φ(b) = b
106936⟨a, b | bb=aa, aaabba=1⟩φ(a) = a, φ(b) = b
106938⟨a, b | bb=aa, aabaab=1⟩φ(a) = a, φ(b) = b
106941⟨a, b | bb=aa, aabbaa=1⟩φ(a) = a, φ(b) = b
106945⟨a, b | bb=aa, abaaba=1⟩φ(a) = a, φ(b) = b
106949⟨a, b | bb=aa, abbbba=1⟩φ(a) = a, φ(b) = b