#10942 ⟨a, b | aabb=bba, 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. a4 ⇒ a
  2. ab2 ⇒ b2a2
  3. b4 ⇒ 1 
# ab:aabb=bba,bbbb=1 a/b
aaaa=a
abb=bbaa
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.

2 total

Σ#PresentationMapping
1117111⟨a, b | aaaa=1, aabbaa=b⟩φ(a) = b, φ(b) = a
1117633⟨a, b | aaaa=1, aabaa=bb⟩φ(a) = b, φ(b) = a