#562 ⟨a, b | aba=b, 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. aba ⇒ b
  2. b2a ⇒ ab2
  3. b4 ⇒ 1 
# ab:aba=b,bbbb=1 ab
aba=b
bba=abb
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.

4 total

Σ#PresentationMapping
103951⟨a, b | abab=bb, bbbb=1⟩φ(a) = a, φ(b) = b
106222⟨a, b | aba=b, ababbb=1⟩φ(a) = a, φ(b) = b
106225⟨a, b | aba=b, abbbab=1⟩φ(a) = a, φ(b) = b
106232⟨a, b | aba=b, bababb=1⟩φ(a) = a, φ(b) = b