#3543 ⟨a, b | aa=1, bbbbb=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. b5 ⇒ b2 
# ab:aa=1,bbbbb=bb ab
aa=1
bbbbb=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.

6 total

Σ#PresentationMapping
1127083⟨a, b | aa=1, aabbbbb=bb⟩φ(a) = a, φ(b) = b
1127197⟨a, b | aa=1, baabbbb=bb⟩φ(a) = a, φ(b) = b
1127226⟨a, b | aa=1, bbaabbb=bb⟩φ(a) = a, φ(b) = b
1127691⟨a, b | aa=1, abbbbb=abb⟩φ(a) = a, φ(b) = b
1128289⟨a, b | aa=1, bbbbb=aabb⟩φ(a) = a, φ(b) = b
1128293⟨a, b | aa=1, bbbbb=baab⟩φ(a) = a, φ(b) = b