#20520 ⟨a, b | ab=aa, aaaaaa=a⟩

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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 ⇒ a2
  2. a6 ⇒ a 
# ab:ab=aa,aaaaaa=a ab
ab=aa
aaaaaa=a

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.

31 total

Σ#PresentationMapping
1120522⟨a, b | ab=aa, aaaaab=a⟩φ(a) = a, φ(b) = b
1120524⟨a, b | ab=aa, aaaaba=a⟩φ(a) = a, φ(b) = b
1120526⟨a, b | ab=aa, aaaabb=a⟩φ(a) = a, φ(b) = b
1120528⟨a, b | ab=aa, aaabaa=a⟩φ(a) = a, φ(b) = b
1120530⟨a, b | ab=aa, aaabab=a⟩φ(a) = a, φ(b) = b
1120532⟨a, b | ab=aa, aaabba=a⟩φ(a) = a, φ(b) = b
1120534⟨a, b | ab=aa, aaabbb=a⟩φ(a) = a, φ(b) = b
1120536⟨a, b | ab=aa, aabaaa=a⟩φ(a) = a, φ(b) = b
1120538⟨a, b | ab=aa, aabaab=a⟩φ(a) = a, φ(b) = b
1120540⟨a, b | ab=aa, aababa=a⟩φ(a) = a, φ(b) = b
1120542⟨a, b | ab=aa, aababb=a⟩φ(a) = a, φ(b) = b
1120544⟨a, b | ab=aa, aabbaa=a⟩φ(a) = a, φ(b) = b
1120546⟨a, b | ab=aa, aabbab=a⟩φ(a) = a, φ(b) = b
1120548⟨a, b | ab=aa, aabbba=a⟩φ(a) = a, φ(b) = b
1120550⟨a, b | ab=aa, aabbbb=a⟩φ(a) = a, φ(b) = b
1120552⟨a, b | ab=aa, abaaaa=a⟩φ(a) = a, φ(b) = b
1120554⟨a, b | ab=aa, abaaab=a⟩φ(a) = a, φ(b) = b
1120556⟨a, b | ab=aa, abaaba=a⟩φ(a) = a, φ(b) = b
1120558⟨a, b | ab=aa, abaabb=a⟩φ(a) = a, φ(b) = b
1120560⟨a, b | ab=aa, ababaa=a⟩φ(a) = a, φ(b) = b
1120562⟨a, b | ab=aa, ababab=a⟩φ(a) = a, φ(b) = b
1120564⟨a, b | ab=aa, ababba=a⟩φ(a) = a, φ(b) = b
1120566⟨a, b | ab=aa, ababbb=a⟩φ(a) = a, φ(b) = b
1120568⟨a, b | ab=aa, abbaaa=a⟩φ(a) = a, φ(b) = b
1120570⟨a, b | ab=aa, abbaab=a⟩φ(a) = a, φ(b) = b
1120572⟨a, b | ab=aa, abbaba=a⟩φ(a) = a, φ(b) = b
1120574⟨a, b | ab=aa, abbabb=a⟩φ(a) = a, φ(b) = b
1120576⟨a, b | ab=aa, abbbaa=a⟩φ(a) = a, φ(b) = b
1120578⟨a, b | ab=aa, abbbab=a⟩φ(a) = a, φ(b) = b
1120580⟨a, b | ab=aa, abbbba=a⟩φ(a) = a, φ(b) = b
1120582⟨a, b | ab=aa, abbbbb=a⟩φ(a) = a, φ(b) = b