#10004 ⟨a, b | aa=1, ababba=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. b2a ⇒ b3
  3. ab2 ⇒ b3
  4. b4 ⇒ b2 
# ab:aa=1,ababba=bb ba
aa=1
bba=bbb
abb=bbb
bbbb=bb

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.

3 total

Σ#PresentationMapping
1010280⟨a, b | aa=1, ababb=bba⟩φ(a) = a, φ(b) = b
1010288⟨a, b | aa=1, abbab=bba⟩φ(a) = a, φ(b) = b
1010518⟨a, b | aa=1, babb=abba⟩φ(a) = a, φ(b) = b