#9757 ⟨a, b | aa=1, abbbbba=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. b25 ⇒ b
  2. ba ⇒ ab5
  3. a2 ⇒ 1 
# ab:aa=1,abbbbba=b b/a
bbbbbbbbbbbbbbbbbbbbbbbbb=b
ba=abbbbb
aa=1

Right Cayley graph

Left Cayley graph

Others with same cardinality

2 unique, 8 total

Σ#PresentationDescriptionRelated
109747⟨a, b | aa=1, abbabba=b⟩Finite non-commutative monoid with 50 elements5 iso
1010301⟨a, b | aa=1, abbbb=bab⟩Finite non-commutative monoid with 50 elements1 iso

Other isomorphic instances

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

2 total

Σ#PresentationMapping
1010026⟨a, b | aa=1, abbbbb=ba⟩φ(a) = a, φ(b) = b
1010340⟨a, b | aa=1, bbbbb=aba⟩φ(a) = a, φ(b) = b