#20654 ⟨a, b | ba=ab, aaaabb=a⟩

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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. a4b2 ⇒ a 
# ab:ba=ab,aaaabb=a ab
ba=ab
aaaabb=a

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.

8 total

Σ#PresentationMapping
1120658⟨a, b | ba=ab, aaabab=a⟩φ(a) = a, φ(b) = b
1120660⟨a, b | ba=ab, aaabba=a⟩φ(a) = a, φ(b) = b
1120663⟨a, b | ba=ab, aabaab=a⟩φ(a) = a, φ(b) = b
1120665⟨a, b | ba=ab, aababa=a⟩φ(a) = a, φ(b) = b
1120668⟨a, b | ba=ab, aabbaa=a⟩φ(a) = a, φ(b) = b
1120674⟨a, b | ba=ab, abaaab=a⟩φ(a) = a, φ(b) = b
1120676⟨a, b | ba=ab, abaaba=a⟩φ(a) = a, φ(b) = b
1120683⟨a, b | ba=ab, abbbba=b⟩φ(a) = b, φ(b) = a