#4620 ⟨a, b | aaaa=a, abab=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. aba ⇒ a2b
  2. ab2 ⇒ a3
  3. a4 ⇒ a 
# ab:aaaa=a,abab=a ab
aba=aab
abb=aaa
aaaa=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.

1 total

Σ#PresentationMapping
1112974⟨a, b | abb=aaa, abab=a⟩φ(a) = a, φ(b) = b