#1257 ⟨a, b | aa=1, bbb=bab⟩

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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. a2 ⇒ 1
  2. bab ⇒ b3 
# ab:aa=1,bbb=bab ba
aa=1
bab=bbb

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
1010243⟨a, b | aa=1, aabab=bbb⟩φ(a) = a, φ(b) = b
1010257⟨a, b | aa=1, aabbb=bab⟩φ(a) = a, φ(b) = b
1010309⟨a, b | aa=1, baaab=bbb⟩φ(a) = a, φ(b) = b
1010315⟨a, b | aa=1, baabb=bab⟩φ(a) = a, φ(b) = b
1010496⟨a, b | aa=1, abbb=abab⟩φ(a) = a, φ(b) = b