#19255 ⟨a, b | aaa=a, aabba=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. a3 ⇒ a
  2. aba2 ⇒ ab
  3. ab2 ⇒ a2ba
  4. a(ba)2 ⇒ a(ab)2 
# ab:aaa=a,aabba=ab reversed:a/b
aaa=a
abaa=ab
abb=aaba
ababa=aabab

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.

1 total

Σ#PresentationMapping
1119815⟨a, b | aaa=a, abba=aab⟩φ(a) = a, φ(b) = b