#1491 ⟨a, b | abaabaaaab=1⟩

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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. c2a3 ⇒ aca2c
  2. c2a2c ⇒ a
  3. baca3 ⇒ ca2c
  4. baca2c ⇒ 1
  5. ab ⇒ bc4ac2a2
  6. cb ⇒ bc4a 
# ab:abaabaaaab=1 ac/b aba=c frequency:3/0
ccaaa=acaac
ccaac=a
bacaaa=caac
bacaac=1
ab=bccccaccaa
cb=bcccca

Right Cayley graph (truncated)

Left Cayley graph (truncated)