#234 ⟨a, b | ab=a, bbbb=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. ab ⇒ a
  2. b4 ⇒ 1 
# ab:ab=a,bbbb=1 ab
ab=a
bbbb=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.

6 total

Σ#PresentationMapping
91431⟨a, b | abbb=a, bbbb=1⟩φ(a) = a, φ(b) = b
91550⟨a, b | aba=ab, aaaa=1⟩φ(a) = b, φ(b) = a
1111065⟨a, b | abbb=abb, bbbb=1⟩φ(a) = a, φ(b) = b
1111093⟨a, b | babb=bab, bbbb=1⟩φ(a) = a, φ(b) = b
1117093⟨a, b | aaaa=1, aaaaba=b⟩φ(a) = b, φ(b) = a
1117621⟨a, b | aaaa=1, aaaab=ba⟩φ(a) = b, φ(b) = a