#1908 ⟨a, b | aab=b, aaaaa=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. ab ⇒ b
  2. a5 ⇒ 1 
# ab:aab=b,aaaaa=1 ab
ab=b
aaaaa=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.

4 total

Σ#PresentationMapping
104414⟨a, b | aaab=b, aaaaa=1⟩φ(a) = a, φ(b) = b
104854⟨a, b | aab=ab, aaaaa=1⟩φ(a) = a, φ(b) = b
1111724⟨a, b | aaab=ab, aaaaa=1⟩φ(a) = a, φ(b) = b
1111884⟨a, b | aaba=ba, aaaaa=1⟩φ(a) = a, φ(b) = b