#4079 ⟨a, b | abb=aba, bbbb=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. aba ⇒ ab2
  2. b4 ⇒ 1
  3. ab3a ⇒ a 
# ab:abb=aba,bbbb=1 ba
aba=abb
bbbb=1
abbba=a

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other anti-isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

1 total

Σ#PresentationMapping
105705⟨a, b | aaaa=1, aabab=b⟩φ(a) = b, φ(b) = a