#16087 ⟨a, b | aab=aa, aaab=ba⟩

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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. a5 ⇒ a3
  2. ba ⇒ a3
  3. a2b ⇒ a2 
# ab:aab=aa,aaab=ba a/b
aaaaa=aaa
ba=aaa
aab=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
1116091⟨a, b | aab=aa, aaba=ba⟩φ(a) = a, φ(b) = b
1116099⟨a, b | aab=aa, abaa=ba⟩φ(a) = a, φ(b) = b