#3533 ⟨a, b | aa=1, babab=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. a2 ⇒ 1
  2. b2ab ⇒ bab2
  3. b(ab)2 ⇒ b2 
# ab:aa=1,babab=bb ab
aa=1
bbab=babb
babab=bb

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.

5 total

Σ#PresentationMapping
1127048⟨a, b | aa=1, aababab=bb⟩φ(a) = a, φ(b) = b
1127178⟨a, b | aa=1, baaabab=bb⟩φ(a) = a, φ(b) = b
1127637⟨a, b | aa=1, ababab=abb⟩φ(a) = a, φ(b) = b
1128253⟨a, b | aa=1, babab=aabb⟩φ(a) = a, φ(b) = b
1128257⟨a, b | aa=1, babab=baab⟩φ(a) = a, φ(b) = b