#10008 ⟨a, b | aa=1, ababbb=bb⟩

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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. bab3 ⇒ ab2
  3. (ba)2b2 ⇒ b2
  4. b(ab2)2 ⇒ abab2 
# ab:aa=1,ababbb=bb ab
aa=1
babbb=abb
bababb=bb
babbabb=ababb

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.

1 total

Σ#PresentationMapping
1010327⟨a, b | aa=1, babbb=abb⟩φ(a) = a, φ(b) = b