#1279 ⟨a, b | aab=aaa, bbb=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. a2b ⇒ a3
  2. b3 ⇒ 1
  3. a5 ⇒ a2 
# ab:aab=aaa,bbb=1 ab
aab=aaa
bbb=1
aaaaa=aa

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
1123289⟨a, b | aaa=1, abbb=abba⟩φ(a) = b, φ(b) = a