#7531 ⟨a, b | aaa=1, abbbbb=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. b13 ⇒ b
  2. ab ⇒ b9
  3. a3 ⇒ 1 
# ab:aaa=1,abbbbb=b b/a
bbbbbbbbbbbbb=b
ab=bbbbbbbbb
aaa=1

Right Cayley graph

Left Cayley graph

Others with same cardinality

1 unique, 1 total

Σ#PresentationDescriptionRelated
1119302⟨a, b | aaa=a, bbbbb=ab⟩Finite non-commutative monoid with 39 elements

Other isomorphic instances

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

4 total

Σ#PresentationMapping
107822⟨a, b | aaa=1, bbbbb=ab⟩φ(a) = a, φ(b) = baa
1121707⟨a, b | aaa=1, aabbbbb=b⟩φ(a) = a, φ(b) = baa
1121747⟨a, b | aaa=1, abbbbab=b⟩φ(a) = a, φ(b) = baa
1122859⟨a, b | aaa=1, bbbbb=aab⟩φ(a) = a, φ(b) = b