#336 ⟨a, b | abbaabba=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. cb2cb ⇒ bcb2c
  2. (b2c)2 ⇒ 1
  3. ca ⇒ ac
  4. b2cb2a ⇒ ab2cb2
  5. d ⇒ b2cb2
  6. a2 ⇒ c 
# ab:abbaabba=1 bc/ad aa=c,bbaabb=d magic:0
cbbcb=bcbbc
bbcbbc=1
ca=ac
bbcbba=abbcbb
d=bbcbb
aa=c

Right Cayley graph (truncated)

Left Cayley graph (truncated)