#15504 ⟨a, b | aaa=ab, bbbbb=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. a11 ⇒ a3
  2. ab ⇒ a3
  3. b5 ⇒ b 
# ab:aaa=ab,bbbbb=b a/b
aaaaaaaaaaa=aaa
ab=aaa
bbbbb=b

Right Cayley graph

Left Cayley graph

Others with same cardinality

1 unique, 6 total

Σ#PresentationDescriptionRelated
104413⟨a, b | aaab=a, bbbbb=1⟩Finite non-commutative monoid with 55 elements5 iso