#2629 ⟨a, b | abbbba=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. cab ⇒ abc
  2. cbab ⇒ ab4c
  3. cb3a ⇒ abc
  4. cb4a ⇒ ab4c
  5. (ab)2 ⇒ c
  6. ab4a ⇒ c 
# ab:abbbba=abab bc/a abab=c magic:0
cab=abc
cbab=abbbbc
cbbba=abc
cbbbba=abbbbc
abab=c
abbbba=c

Right Cayley graph (truncated)

Left Cayley graph (truncated)