#15515 ⟨a, b | aaa=bb, aabab=a⟩

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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. a16 ⇒ a
  2. ab ⇒ ba11
  3. b2 ⇒ a3 
# ab:aaa=bb,aabab=a a/b
aaaaaaaaaaaaaaaa=a
ab=baaaaaaaaaaa
bb=aaa

Right Cayley graph

Left Cayley graph

Others with same cardinality

2 unique, 19 total

Σ#PresentationDescriptionRelated
93385⟨a, b | aa=1, abbbba=b⟩Finite non-commutative monoid with 32 elements17 iso
105421⟨a, b | aba=bb, bab=aa⟩Finite non-commutative monoid with 32 elements