#12170 ⟨a, b | aaaa=ab, aabb=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. a8 ⇒ a
  2. ab ⇒ a4 
# ab:aaaa=ab,aabb=a a/b
aaaaaaaa=a
ab=aaaa

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.

2 total

Σ#PresentationMapping
1112174⟨a, b | aaaa=ab, abab=a⟩φ(a) = a, φ(b) = b
1112176⟨a, b | aaaa=ab, abba=a⟩φ(a) = a, φ(b) = b