#5068 ⟨a, b | aaa=ab, bbab=a⟩

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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. a7 ⇒ a
  2. ab ⇒ a3
  3. b2a ⇒ a5 
# ab:aaa=ab,bbab=a a/b
aaaaaaa=a
ab=aaa
bba=aaaaa

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.

8 total

Σ#PresentationMapping
1114616⟨a, b | aaba=b, aabbb=b⟩φ(a) = b, φ(b) = a
1114640⟨a, b | aaba=b, baabb=b⟩φ(a) = b, φ(b) = a
1114644⟨a, b | aaba=b, babab=b⟩φ(a) = b, φ(b) = a
1114646⟨a, b | aaba=b, babba=b⟩φ(a) = b, φ(b) = a
1114652⟨a, b | aaba=b, bbaab=b⟩φ(a) = b, φ(b) = a
1114654⟨a, b | aaba=b, bbaba=b⟩φ(a) = b, φ(b) = a
1114658⟨a, b | aaba=b, bbbaa=b⟩φ(a) = b, φ(b) = a
1115489⟨a, b | aaa=ab, bbaaa=a⟩φ(a) = a, φ(b) = b