#7102 ⟨a, b | ab=aa, bbaa=aa⟩

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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. ab ⇒ a2
  2. b2a2 ⇒ a2
  3. a5 ⇒ a3 
# ab:ab=aa,bbaa=aa ab
ab=aa
bbaa=aa
aaaaa=aaa

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.

3 total

Σ#PresentationMapping
107103⟨a, b | ab=aa, bbaa=ab⟩φ(a) = a, φ(b) = b
107106⟨a, b | ab=aa, bbab=aa⟩φ(a) = a, φ(b) = b
107107⟨a, b | ab=aa, bbab=ab⟩φ(a) = a, φ(b) = b