#28197 ⟨a, b | aa=1, abbab=bbbb⟩

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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. b11 ⇒ b6
  2. bab6 ⇒ ab10
  3. b2ab ⇒ ab4
  4. a2 ⇒ 1 
# ab:aa=1,abbab=bbbb b/a
bbbbbbbbbbb=bbbbbb
babbbbbb=abbbbbbbbbb
bbab=abbbb
aa=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.

1 total

Σ#PresentationMapping
1128221⟨a, b | aa=1, abbbb=bbab⟩φ(a) = a, φ(b) = b