#1687 ⟨a, b | abb=aa, 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. b3 ⇒ b
  2. a2 ⇒ ab2
  3. ab2a ⇒ ab2 
# ab:abb=aa,bbb=b b/a
bbb=b
aa=abb
abba=abb

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
1119238⟨a, b | aaa=a, aaaab=bb⟩φ(a) = b, φ(b) = a