#408 ⟨a, b | abbaaab=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. ab3 ⇒ b2ab
  2. ab2ab ⇒ b2a2b
  3. ab2a2b ⇒ b2a3b
  4. ab2a3b ⇒ b 
# ab:abbaaab=b ba
abbb=bbab
abbab=bbaab
abbaab=bbaaab
abbaaab=b

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
101778⟨a, b | ababaaaab=b⟩φ(a) = a, φ(b) = bbaaab