#7808 ⟨a, b | aaa=1, baabb=ab⟩

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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. a3 ⇒ 1
  2. ba2b2 ⇒ ab
  3. ba(ab)2 ⇒ a2b
  4. b(a2b)2 ⇒ b 
# ab:aaa=1,baabb=ab ab
aaa=1
baabb=ab
baabab=aab
baabaab=b

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.

2 total

Σ#PresentationMapping
1121685⟨a, b | aaa=1, aabaabb=b⟩φ(a) = a, φ(b) = b
1121715⟨a, b | aaa=1, abaabab=b⟩φ(a) = a, φ(b) = b