#208 ⟨a, b | aa=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. a2 ⇒ a
  2. b4 ⇒ 1 
# ab:aa=a,bbbb=1 ab
aa=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
91507⟨a, b | aab=ab, bbbb=1⟩φ(a) = a, φ(b) = b
1110924⟨a, b | aabb=abb, bbbb=1⟩φ(a) = a, φ(b) = b
1111081⟨a, b | baab=bab, bbbb=1⟩φ(a) = a, φ(b) = b
1117095⟨a, b | aaaa=1, aaaabb=b⟩φ(a) = b, φ(b) = a
1117141⟨a, b | aaaa=1, baaaab=b⟩φ(a) = b, φ(b) = a
1117622⟨a, b | aaaa=1, aaaab=bb⟩φ(a) = b, φ(b) = a