#575 ⟨a, b | abba=abab

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. cbaabc
  2. cababc
  3. c2bcbc
  4. c2acac
  5. (ab)2ab2a
  6. abcbab2c
  7. cbcaabc2
  8. ca2babca
  9. cacbabc2
  10. ab2abc
  11. ab2caab2ac
  12. ab2a2bca
  13. ab2acbc2
# ab:abba=abab bac abbab=c frequency:5/0
cba=abc
cab=abc
ccb=cbc
cca=cac
abab=abba
abcb=abbc
cbca=abcc
caab=abca
cacb=abcc
abbab=c
abbca=abbac
abbaab=ca
abbacb=cc

Right Cayley graph (truncated)

Left Cayley graph (truncated)