#5314 ⟨a, b | aaa=ab, aab=bb⟩

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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. ba4 ⇒ a6
  2. ab ⇒ a3
  3. b2 ⇒ a4 
# ab:aaa=ab,aab=bb a/b
baaaa=aaaaaa
ab=aaa
bb=aaaa

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
105318⟨a, b | aaa=ab, aba=bb⟩φ(a) = a, φ(b) = b
1115984⟨a, b | aaa=ab, aaaa=bb⟩φ(a) = a, φ(b) = b