#5066 ⟨a, b | aaa=ab, bbaa=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. a6 ⇒ a
  2. ab ⇒ a3
  3. b2a ⇒ a5 
# ab:aaa=ab,bbaa=a a/b
aaaaaa=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.

4 total

Σ#PresentationMapping
1112405⟨a, b | aaba=bb, aabb=b⟩φ(a) = b, φ(b) = a
1112417⟨a, b | aaba=bb, baab=b⟩φ(a) = b, φ(b) = a
1112419⟨a, b | aaba=bb, baba=b⟩φ(a) = b, φ(b) = a
1112423⟨a, b | aaba=bb, bbaa=b⟩φ(a) = b, φ(b) = a

Other anti-isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

1 total

Σ#PresentationMapping
1114697⟨a, b | aabb=a, baaaa=a⟩φ(a) = a, φ(b) = b