#1677 ⟨a, b | aba=ba, baa=b⟩

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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. ab ⇒ b
  2. ba2 ⇒ b 
# ab:aba=ba,baa=b ab
ab=b
baa=b

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
105135⟨a, b | aab=ab, abaa=b⟩φ(a) = a, φ(b) = b
1115618⟨a, b | aab=ab, aabaa=b⟩φ(a) = a, φ(b) = b