#19240 ⟨a, b | aaa=a, aaaba=ab⟩

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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. ab ⇒ c
  2. ca ⇒ c
  3. cb ⇒ c2
  4. a3 ⇒ a
  5. a2c ⇒ c 
# ab:aaa=a,aaaba=ab acb ab=c frequency:2/1
ab=c
ca=c
cb=cc
aaa=a
aac=c

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
1119784⟨a, b | aaa=a, aaab=aba⟩φ(a) = a, φ(b) = b
1119791⟨a, b | aaa=a, aaba=aab⟩φ(a) = a, φ(b) = b