#26637 ⟨a, b | aa=1, abbbbbba=b⟩

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Properties

Element profile

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. b36 ⇒ b
  2. ba ⇒ ab6
  3. a2 ⇒ 1 
# ab:aa=1,abbbbbba=b b/a
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b
ba=abbbbbb
aa=1

Right Cayley graph

Left Cayley graph

Others with same cardinality

1 unique, 3 total

Σ#PresentationDescriptionRelated
1115372⟨a, b | aba=bb, aaabbb=1⟩Finite non-Abelian group with 72 elements2 iso

Other isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

2 total

Σ#PresentationMapping
1127166⟨a, b | aa=1, abbbbbb=ba⟩φ(a) = a, φ(b) = b
1127764⟨a, b | aa=1, bbbbbb=aba⟩φ(a) = a, φ(b) = b