#16230 ⟨a, b | aab=ba, abab=ab⟩

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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. a3b ⇒ ab
  2. ba ⇒ a2b
  3. ab2 ⇒ ab 
# ab:aab=ba,abab=ab reversed:a/b
aaab=ab
ba=aab
abb=ab

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
1116234⟨a, b | aab=ba, abba=ab⟩φ(a) = a, φ(b) = b
1116387⟨a, b | aba=ab, aabb=ba⟩φ(a) = a, φ(b) = b