#4625 ⟨a, b | aaaa=a, abbb=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. b7 ⇒ b
  2. ab ⇒ b5
  3. a4 ⇒ a 
# ab:aaaa=a,abbb=b b/a
bbbbbbb=b
ab=bbbbb
aaaa=a

Right Cayley graph

Left Cayley graph

Others with same cardinality

2 unique, 6 total

Σ#PresentationDescriptionRelated
104623⟨a, b | aaaa=a, abba=b⟩Finite non-commutative monoid with 28 elements1 iso
104691⟨a, b | aaab=b, babb=a⟩Finite non-commutative monoid with 28 elements3 iso

Other isomorphic instances

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

2 total

Σ#PresentationMapping
1114344⟨a, b | aaaa=a, aabbb=b⟩φ(a) = a, φ(b) = bbbbb
1114352⟨a, b | aaaa=a, abbab=b⟩φ(a) = a, φ(b) = bbbbb