#8066 ⟨a, b | aaa=1, abba=bab⟩

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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 ⇒ 1
  2. ab2 ⇒ baba2
  3. a(ab)2 ⇒ b2a 
# ab:aaa=1,abba=bab a/b
aaa=1
abb=babaa
aabab=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
1122256⟨a, b | aaa=1, abaaba=bb⟩φ(a) = aa, φ(b) = b
1122762⟨a, b | aaa=1, aabab=bba⟩φ(a) = a, φ(b) = b