#6917 ⟨a, b | ba=ab, aaabbb=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. ba ⇒ ab
  2. a3b3 ⇒ 1 
# ab:ba=ab,aaabbb=1 ab
ba=ab
aaabbb=1

Staircase diagram

Right Cayley graph (truncated)

Other isomorphic instances

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

6 total

Σ#PresentationMapping
106920⟨a, b | ba=ab, aababb=1⟩φ(a) = a, φ(b) = b
106922⟨a, b | ba=ab, aabbab=1⟩φ(a) = a, φ(b) = b
106923⟨a, b | ba=ab, aabbba=1⟩φ(a) = a, φ(b) = b
106926⟨a, b | ba=ab, ababab=1⟩φ(a) = a, φ(b) = b
106927⟨a, b | ba=ab, ababba=1⟩φ(a) = a, φ(b) = b
106928⟨a, b | ba=ab, abbaab=1⟩φ(a) = a, φ(b) = b