#1289 ⟨a, b | aaaaaabbba=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. ca ⇒ ac
  2. cb ⇒ bc
  3. cd ⇒ 1
  4. da ⇒ ad
  5. db ⇒ bd
  6. dc ⇒ 1
  7. b3 ⇒ d
  8. a7 ⇒ c 
# ab:aaaaaabbba=1 abcd aaaaaaa=c,bbb=d magic:0
ca=ac
cb=bc
cd=1
da=ad
db=bd
dc=1
bbb=d
aaaaaaa=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.

2 total

Σ#PresentationMapping
101303⟨a, b | aaaaabbbaa=1⟩φ(a) = a, φ(b) = b
101330⟨a, b | aaaabbbaaa=1⟩φ(a) = a, φ(b) = b