#14298 ⟨a, b | abba=b, aaabab=1⟩

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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. ba2 ⇒ a2b
  2. ab2a ⇒ b
  3. (ba)2 ⇒ (ab)2
  4. b3a ⇒ ab3
  5. a3b2 ⇒ ba
  6. a3bab ⇒ 1
  7. a2bab2 ⇒ b2a 
# ab:abba=b,aaabab=1 ab
baa=aab
abba=b
baba=abab
bbba=abbb
aaabb=ba
aaabab=1
aababb=bba

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
1114302⟨a, b | abba=b, aababa=1⟩φ(a) = a, φ(b) = b
1114308⟨a, b | abba=b, abaaab=1⟩φ(a) = a, φ(b) = b