#8073 ⟨a, b | aaa=1, abbb=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. b15 ⇒ b8
  2. bab ⇒ ab3
  3. ba2b3 ⇒ a2b7
  4. a3 ⇒ 1 
# ab:aaa=1,abbb=bab b/a
bbbbbbbbbbbbbbb=bbbbbbbb
bab=abbb
baabbb=aabbbbbbb
aaa=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
1122763⟨a, b | aaa=1, aabab=bbb⟩φ(a) = a, φ(b) = b