#1524 ⟨a, b | aab=bb, aaaa=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. a2b ⇒ b2
  2. b3 ⇒ b
  3. a4 ⇒ 1 
# ab:aab=bb,aaaa=1 ab
aab=bb
bbb=b
aaaa=1

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
1117628⟨a, b | aaaa=1, aaabb=ab⟩φ(a) = a, φ(b) = b
1117640⟨a, b | aaaa=1, aabba=ba⟩φ(a) = a, φ(b) = b