#1609 ⟨a, b | aaa=bb, bbb=b⟩

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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. a6 ⇒ a3
  2. ba3 ⇒ b
  3. a3b ⇒ b
  4. b2 ⇒ a3 
# ab:aaa=bb,bbb=b a/b
aaaaaa=aaa
baaa=b
aaab=b
bb=aaa

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
105077⟨a, b | aaa=bb, aaab=b⟩φ(a) = a, φ(b) = b
1119781⟨a, b | aaa=a, aaaa=bbb⟩φ(a) = b, φ(b) = a