#16165 ⟨a, b | aab=ab, abab=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. a3 ⇒ a2
  2. a2b ⇒ ab
  3. aba ⇒ ab
  4. ab2 ⇒ a2 
# ab:aab=ab,abab=aa ab
aaa=aa
aab=ab
aba=ab
abb=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.

2 total

Σ#PresentationMapping
1116393⟨a, b | aba=ab, abab=aa⟩φ(a) = a, φ(b) = b
1116397⟨a, b | aba=ab, abba=aa⟩φ(a) = a, φ(b) = b