#3679 ⟨a, b | aa=1, bbbb=bbb⟩

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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. b4 ⇒ b3 
# ab:aa=1,bbbb=bbb ab
aa=1
bbbb=bbb

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
1127611⟨a, b | aa=1, aabbbb=bbb⟩φ(a) = a, φ(b) = b
1127725⟨a, b | aa=1, baabbb=bbb⟩φ(a) = a, φ(b) = b
1127753⟨a, b | aa=1, bbaabb=bbb⟩φ(a) = a, φ(b) = b
1128139⟨a, b | aa=1, aabbb=bbbb⟩φ(a) = a, φ(b) = b
1128215⟨a, b | aa=1, abbbb=abbb⟩φ(a) = a, φ(b) = b
1128249⟨a, b | aa=1, baabb=bbbb⟩φ(a) = a, φ(b) = b