#727 ⟨a, b | abbabbbba=1⟩

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. dbdb3db
  2. dbdb4b2db3d
  3. cbdb4 ⇒ 1
  4. dccbd2(bd)2
  5. bccbd2bdb2
  6. acbdb3d
# ab:abbabbbba=1 d/b/ca aa=c,ba=d frequency:2/3,2/2
dbdbbbd=b
dbdbbbb=bbdbbbd
cbdbbbb=1
dc=cbddbdbd
bc=cbddbdbb
a=cbdbbbd

Right Cayley graph (truncated)

Left Cayley graph (truncated)