#2583 ⟨a, b | abaaba=abab⟩

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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. c2a ⇒ cac
  2. abca ⇒ abac
  3. cb ⇒ abac
  4. cab ⇒ abc
  5. ca2ba ⇒ abc
  6. (ab)2 ⇒ c
  7. (aba)2 ⇒ c 
# ab:abaaba=abab ac/b abab=c magic:0
cca=cac
abca=abac
cb=abac
cab=abc
caaba=abc
abab=c
abaaba=c

Right Cayley graph (truncated)

Left Cayley graph (truncated)