#755 ⟨a, b | aaa=1, bbbb=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. a3 ⇒ 1
  2. b4 ⇒ b 
# ab:aaa=1,bbbb=b ab
aaa=1
bbbb=b

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.

5 total

Σ#PresentationMapping
107801⟨a, b | aaa=1, abbbb=ab⟩φ(a) = a, φ(b) = b
1121679⟨a, b | aaa=1, aaabbbb=b⟩φ(a) = a, φ(b) = b
1121759⟨a, b | aaa=1, baaabbb=b⟩φ(a) = a, φ(b) = b
1121781⟨a, b | aaa=1, bbaaabb=b⟩φ(a) = a, φ(b) = b
1123322⟨a, b | aaa=1, bbbb=aaab⟩φ(a) = a, φ(b) = b