#1801 ⟨a, b | abbaaabba=a⟩

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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. a2 ⇒ c
  2. ca ⇒ ac
  3. ab2ac ⇒ acb2a
  4. ab2c2 ⇒ acb2c
  5. cb2ac ⇒ c2b2a
  6. cb2c2 ⇒ c2b2c
  7. c(b2a)2 ⇒ (ab2)2c
  8. cb2ab2c ⇒ a 
# ab:abbaaabba=a acb aa=c frequency:2/0
aa=c
ca=ac
abbac=acbba
abbcc=acbbc
cbbac=ccbba
cbbcc=ccbbc
cbbabba=abbabbc
cbbabbc=a

Right Cayley graph (truncated)

Left Cayley graph (truncated)