#2168 ⟨a, b | aaababa=aab

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. a2ba2c
  2. acbac2
  3. cabcac
  4. c2bc3
  5. cbaabc
  6. ac2aa2c2
  7. c3acac2
  8. a(ba)2c
  9. a2(ca)2ac
  10. (ca)3c2
# ab:aaababa=aab acb ababa=c frequency:5/0
aab=aac
acb=acc
cab=cac
ccb=ccc
cba=abc
acca=aacc
ccca=cacc
ababa=c
aacaca=ac
cacaca=cc

Right Cayley graph (truncated)

Left Cayley graph (truncated)