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〈a, b | aaa=1, baababb=a〉

Monoid presentation of length 11

Properties

Completion parameters

Inverses of generators

Complete rewriting system

  1. b12 ⇒ 1
  2. b3a ⇒ ab3
  3. ab2a ⇒ bab5
  4. (ba)2 ⇒ a2b2
  5. b2a2 ⇒ (ab)2
  6. a3 ⇒ 1
  7. a2ba ⇒ b2ab7
  8. aba2 ⇒ ba2b4

Right Cayley graph

Left Cayley graph

Others with same cardinality

6 unique, 29 total

Length:Presentation:Description:Related:
9 〈a, b | aaa=1, babbb=a〉 Finite non-Abelian group with 84 elements 2 isomorphic, 1 anti-isomorphic
10 〈a, b | aaa=1, aababbb=1〉 Finite non-Abelian group with 84 elements 2 isomorphic, 4 anti-isomorphic
10 〈a, b | aaa=1, bababb=a〉 Finite non-Abelian group with 84 elements 5 isomorphic, 3 anti-isomorphic
10 〈a, b | aaa=1, babbb=ab〉 Finite non-commutative monoid with 84 elements 3 isomorphic
10 〈a, b | aaa=1, bbabb=ab〉 Finite non-commutative monoid with 84 elements 3 isomorphic
11 〈a, b | aaa=1, baabbab=a〉 Finite non-Abelian group with 84 elements