#7777 ⟨a, b | aaa=1, aabba=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. a3 ⇒ 1
  2. b2a ⇒ ab2 
# ab:aaa=1,aabba=bb ab
aaa=1
bba=abb

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
1123281⟨a, b | aaa=1, abba=aabb⟩φ(a) = a, φ(b) = b
1123302⟨a, b | aaa=1, baba=abab⟩φ(a) = a, φ(b) = baa
1123315⟨a, b | aaa=1, bbaa=aabb⟩φ(a) = a, φ(b) = b