#707 ⟨a, b | abaabbaab=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. ac2 ⇒ 1
  3. cb ⇒ abc3
  4. a3b ⇒ ba3
  5. ba2b ⇒ c 
# ab:abaabbaab=1 ac/b baab=c frequency:4/2
ca=ac
acc=1
cb=abccc
aaab=baaa
baab=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
9712⟨a, b | ababaabba=1⟩φ(a) = a, φ(b) = b
9726⟨a, b | abbababba=1⟩φ(a) = b, φ(b) = a