#2074 ⟨a, b | abbaaaab=bb⟩

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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. cb2(cb)4 ⇒ b2
  2. cb(bc)3b3 ⇒ b3(cb)4
  3. ac ⇒ ca
  4. ab2 ⇒ cb2(cb)3
  5. a4 ⇒ c 
# ab:abbaaaab=bb reversed:cb/a aaaa=c frequency:4/2
cbbcbcbcbcb=bb
cbbcbcbcbbb=bbbcbcbcbcb
ac=ca
abb=cbbcbcbcb
aaaa=c

Right Cayley graph (truncated)

Left Cayley graph (truncated)