#2063 ⟨a, b | aab=b, abab=b⟩

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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. b2 ⇒ b
  2. a2b ⇒ b
  3. bab ⇒ ab 
# ab:aab=b,abab=b ab
bb=b
aab=b
bab=ab

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.

8 total

Σ#PresentationMapping
1112249⟨a, b | aaab=ab, abab=b⟩φ(a) = a, φ(b) = b
1112383⟨a, b | aaba=ba, abab=b⟩φ(a) = a, φ(b) = b
1118971⟨a, b | aab=b, aaabab=b⟩φ(a) = a, φ(b) = b
1118995⟨a, b | aab=b, abaaab=b⟩φ(a) = a, φ(b) = b
1119525⟨a, b | aab=b, aabab=ab⟩φ(a) = a, φ(b) = b
1119573⟨a, b | aab=b, baaab=ab⟩φ(a) = a, φ(b) = b
1120061⟨a, b | aab=b, aaab=bab⟩φ(a) = a, φ(b) = b
1120089⟨a, b | aab=b, abab=aab⟩φ(a) = a, φ(b) = b