#3678 ⟨a, b | aa=1, bbbb=bab⟩

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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. bab ⇒ b4
  2. a2 ⇒ 1 
# ab:aa=1,bbbb=bab b/a
bab=bbbb
aa=1

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
1127609⟨a, b | aa=1, aabbbb=bab⟩φ(a) = a, φ(b) = b
1127723⟨a, b | aa=1, baabbb=bab⟩φ(a) = a, φ(b) = b
1127752⟨a, b | aa=1, bbaabb=bab⟩φ(a) = a, φ(b) = b
1128107⟨a, b | aa=1, aabab=bbbb⟩φ(a) = a, φ(b) = b
1128213⟨a, b | aa=1, abbbb=abab⟩φ(a) = a, φ(b) = b
1128233⟨a, b | aa=1, baaab=bbbb⟩φ(a) = a, φ(b) = b