#3540 ⟨a, b | aa=1, bbabb=bb⟩

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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 ⇒ 1
  2. b2ab2 ⇒ b2 
# ab:aa=1,bbabb=bb ab
aa=1
bbabb=bb

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
1127068⟨a, b | aa=1, aabbabb=bb⟩φ(a) = a, φ(b) = b
1127189⟨a, b | aa=1, baababb=bb⟩φ(a) = a, φ(b) = b
1127222⟨a, b | aa=1, bbaaabb=bb⟩φ(a) = a, φ(b) = b
1127669⟨a, b | aa=1, abbabb=abb⟩φ(a) = a, φ(b) = b
1128279⟨a, b | aa=1, bbabb=aabb⟩φ(a) = a, φ(b) = b
1128283⟨a, b | aa=1, bbabb=baab⟩φ(a) = a, φ(b) = b