#1578 ⟨a, b | aaa=aa, aba=a⟩

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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 ⇒ a2
  2. aba ⇒ a 
# ab:aaa=aa,aba=a ab
aaa=aa
aba=a

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
1119639⟨a, b | aba=a, aaaba=aa⟩φ(a) = a, φ(b) = b
1119647⟨a, b | aba=a, aabaa=aa⟩φ(a) = a, φ(b) = b
1120183⟨a, b | aba=a, aaab=aab⟩φ(a) = a, φ(b) = b
1120190⟨a, b | aba=a, aaba=aaa⟩φ(a) = a, φ(b) = b