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〈a, b | aaa=1, bbababb=a〉

Monoid presentation of length 11

Properties

Completion parameters

Inverses of generators

Complete rewriting system

  1. b15 ⇒ 1
  2. b3a ⇒ ab3
  3. aba ⇒ bab10
  4. bab2a ⇒ ab2ab
  5. a3 ⇒ 1
  6. a2b2a ⇒ ba2b11
  7. ab2a2 ⇒ b2a2b10

Right Cayley graph

Left Cayley graph

Others with same cardinality

4 unique, 12 total

Length:Presentation:Description:Related:
10 〈a, b | aaa=1, ababbbb=1〉 Finite non-Abelian group with 120 elements 4 isomorphic
11 〈a, b | aaa=bb, ababab=1〉 Finite non-Abelian group with 120 elements
11 〈a, b | aaa=1, abababbb=1〉 Finite non-Abelian group with 120 elements 3 isomorphic
11 〈a, b | aaa=1, baabbbb=a〉 Finite non-Abelian group with 120 elements 1 isomorphic