#9739 ⟨a, b | aa=1, ababbbb=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. b9 ⇒ b
  2. bab ⇒ ab6
  3. a2 ⇒ 1 
# ab:aa=1,ababbbb=b b/a
bbbbbbbbb=b
bab=abbbbbb
aa=1

Right Cayley graph

Left Cayley graph

Others with same cardinality

1 unique, 1 total

Σ#PresentationDescriptionRelated
1115757⟨a, b | aab=bb, ababa=a⟩Finite non-commutative monoid with 34 elements

Other isomorphic instances

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

2 total

Σ#PresentationMapping
109753⟨a, b | aa=1, abbbabb=b⟩φ(a) = a, φ(b) = b
1010051⟨a, b | aa=1, babbbb=ab⟩φ(a) = a, φ(b) = b

Other anti-isomorphic instances

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

1 total

Σ#PresentationMapping
1010059⟨a, b | aa=1, bbabbb=ba⟩φ(a) = a, φ(b) = b