#9145 ⟨a, b | aa=a, abab=abb⟩

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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. ac ⇒ c
  3. ab ⇒ c
  4. cb ⇒ c2 
# ab:aa=a,abab=abb acb ab=c frequency:2/0
aa=a
ac=c
ab=c
cb=cc

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.

3 total

Σ#PresentationMapping
1125155⟨a, b | aa=a, aabab=abb⟩φ(a) = a, φ(b) = b
1125179⟨a, b | aa=a, abaab=abb⟩φ(a) = a, φ(b) = b
1125672⟨a, b | aa=a, abab=aabb⟩φ(a) = a, φ(b) = b