#2701 ⟨a, b | abbaa=abaab

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. cba2abac
  2. ca2babac
  3. cacbcbac
  4. aba2bab2a2
  5. abacbab2ac
  6. caca2ca3c
  7. ab2a2bc
  8. cbaca2ab(ac)2
  9. ca4babaca2
  10. ca3cbab(ac)2
  11. ab2aca2ab2a3c
  12. ab2a4bca2
  13. ab2a3cbcac
# ab:abbaa=abaab bac abbaab=c frequency:6/0
cbaa=abac
caab=abac
cacb=cbac
abaab=abbaa
abacb=abbac
cacaa=caaac
abbaab=c
cbacaa=abacac
caaaab=abacaa
caaacb=abacac
abbacaa=abbaaac
abbaaaab=caa
abbaaacb=cac

Right Cayley graph (truncated)

Left Cayley graph (truncated)