#10027 ⟨a, b | aa=1, abbbbb=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. b8 ⇒ b2
  2. ab2 ⇒ b5
  3. a2 ⇒ 1 
# ab:aa=1,abbbbb=bb b/a
bbbbbbbb=bb
abb=bbbbb
aa=1

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
1010341⟨a, b | aa=1, bbbbb=abb⟩φ(a) = a, φ(b) = b