#722 ⟨a, b | abbaaabba=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. a5c2 ⇒ 1
  3. cb ⇒ bc
  4. a5b ⇒ ba5
  5. d ⇒ a5c
  6. b2 ⇒ c 
# ab:abbaaabba=1 ac/bd bb=c,aaabbaa=d magic:1
ca=ac
aaaaacc=1
cb=bc
aaaaab=baaaaa
d=aaaaac
bb=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
9724⟨a, b | abbaabbba=1⟩φ(a) = b, φ(b) = a