#1409 ⟨a, b | aabaabbaab=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. cb ⇒ bc
  2. b4c3 ⇒ 1
  3. ca ⇒ ac
  4. b4a ⇒ ab4
  5. d ⇒ b4c2
  6. a2 ⇒ c 
# ab:aabaabbaab=1 bc/ad aa=c,baabbaab=d magic:0
cb=bc
bbbbccc=1
ca=ac
bbbba=abbbb
d=bbbbcc
aa=c

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

3 total

Σ#PresentationMapping
101442⟨a, b | aabbaabaab=1⟩φ(a) = a, φ(b) = b
101493⟨a, b | abaabaabba=1⟩φ(a) = a, φ(b) = b
101499⟨a, b | abaabbaaba=1⟩φ(a) = a, φ(b) = b