#60 ⟨a, b | aaabba=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. b2 ⇒ d
  2. ca ⇒ ac
  3. cb ⇒ bc
  4. cd ⇒ 1
  5. da ⇒ ad
  6. db ⇒ bd
  7. dc ⇒ 1
  8. a4 ⇒ c 
# ab:aaabba=1 abcd aaaa=c,bb=d magic:0
bb=d
ca=ac
cb=bc
cd=1
da=ad
db=bd
dc=1
aaaa=c

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
665⟨a, b | aabbaa=1⟩φ(a) = a, φ(b) = b