#758 ⟨a, b | aab=1, aaab=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. a2b ⇒ 1 
# ab:aab=1,aaab=a ab
aab=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.

39 total

Σ#PresentationMapping
8760⟨a, b | aab=1, aaba=a⟩φ(a) = a, φ(b) = b
8763⟨a, b | aab=1, aabb=b⟩φ(a) = a, φ(b) = b
8775⟨a, b | aab=1, baab=b⟩φ(a) = a, φ(b) = b
92319⟨a, b | aab=1, aaaabb=1⟩φ(a) = a, φ(b) = b
92321⟨a, b | aab=1, aaabab=1⟩φ(a) = a, φ(b) = b
92325⟨a, b | aab=1, aabaab=1⟩φ(a) = a, φ(b) = b
107828⟨a, b | aab=1, aaaab=aa⟩φ(a) = a, φ(b) = b
107832⟨a, b | aab=1, aaaba=aa⟩φ(a) = a, φ(b) = b
107837⟨a, b | aab=1, aaabb=ab⟩φ(a) = a, φ(b) = b
107840⟨a, b | aab=1, aabaa=aa⟩φ(a) = a, φ(b) = b
107845⟨a, b | aab=1, aabab=ab⟩φ(a) = a, φ(b) = b
107850⟨a, b | aab=1, aabba=ba⟩φ(a) = a, φ(b) = b
107855⟨a, b | aab=1, aabbb=bb⟩φ(a) = a, φ(b) = b
107861⟨a, b | aab=1, abaab=ab⟩φ(a) = a, φ(b) = b
107894⟨a, b | aab=1, baaab=ba⟩φ(a) = a, φ(b) = b
107898⟨a, b | aab=1, baaba=ba⟩φ(a) = a, φ(b) = b
107903⟨a, b | aab=1, baabb=bb⟩φ(a) = a, φ(b) = b
107927⟨a, b | aab=1, bbaab=bb⟩φ(a) = a, φ(b) = b
1113876⟨a, b | aaab=a, aaaabb=1⟩φ(a) = a, φ(b) = b
1113878⟨a, b | aaab=a, aaabab=1⟩φ(a) = a, φ(b) = b
1114004⟨a, b | aaba=a, aaaabb=1⟩φ(a) = a, φ(b) = b
1114006⟨a, b | aaba=a, aaabab=1⟩φ(a) = a, φ(b) = b
1114010⟨a, b | aaba=a, aabaab=1⟩φ(a) = a, φ(b) = b
1121798⟨a, b | aab=1, aaaaabb=a⟩φ(a) = a, φ(b) = b
1121802⟨a, b | aab=1, aaaabab=a⟩φ(a) = a, φ(b) = b
1121804⟨a, b | aab=1, aaaabba=a⟩φ(a) = a, φ(b) = b
1121807⟨a, b | aab=1, aaaabbb=b⟩φ(a) = a, φ(b) = b
1121810⟨a, b | aab=1, aaabaab=a⟩φ(a) = a, φ(b) = b
1121812⟨a, b | aab=1, aaababa=a⟩φ(a) = a, φ(b) = b
1121815⟨a, b | aab=1, aaababb=b⟩φ(a) = a, φ(b) = b
1121826⟨a, b | aab=1, aabaaab=a⟩φ(a) = a, φ(b) = b
1121828⟨a, b | aab=1, aabaaba=a⟩φ(a) = a, φ(b) = b
1121831⟨a, b | aab=1, aabaabb=b⟩φ(a) = a, φ(b) = b
1121843⟨a, b | aab=1, aabbaab=b⟩φ(a) = a, φ(b) = b
1121927⟨a, b | aab=1, baaaabb=b⟩φ(a) = a, φ(b) = b
1121931⟨a, b | aab=1, baaabab=b⟩φ(a) = a, φ(b) = b
1121939⟨a, b | aab=1, baabaab=b⟩φ(a) = a, φ(b) = b
1123332⟨a, b | aab=1, aaba=aaab⟩φ(a) = a, φ(b) = b
1123369⟨a, b | aab=1, baab=aabb⟩φ(a) = a, φ(b) = b