#640 ⟨a, b | aaabbaaab=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. b3c2 ⇒ 1
  3. ca ⇒ ac
  4. b3a ⇒ ab3
  5. d ⇒ b3c
  6. a3 ⇒ c 
# ab:aaabbaaab=1 bc/ad aaa=c,bbaaab=d magic:0
cb=bc
bbbcc=1
ca=ac
bbba=abbb
d=bbbc
aaa=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.

2 total

Σ#PresentationMapping
9658⟨a, b | aabaaabba=1⟩φ(a) = a, φ(b) = b
9677⟨a, b | aabbaaaba=1⟩φ(a) = a, φ(b) = b