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〈a, b | bb=aa, ababab=1〉

Monoid presentation of length 10

Properties

Completion parameters

Inverses of generators

Complete rewriting system

  1. a12 ⇒ 1
  2. a2b ⇒ ba2
  3. b2 ⇒ a2
  4. bab ⇒ aba7

Right Cayley graph

Left Cayley graph

Others with same cardinality

8 unique, 41 total

Length:Presentation:Description:Related:
9 〈a, b | aaab=a, bbbb=1〉 Finite non-commutative monoid with 36 elements 3 isomorphic, 3 anti-isomorphic
9 〈a, b | aaa=ab, bbbb=1〉 Finite non-commutative monoid with 36 elements 1 isomorphic, 5 anti-isomorphic
9 〈a, b | aaa=1, ababbb=1〉 Finite non-Abelian group with 36 elements 17 isomorphic
10 〈a, b | aaa=ab, bbbb=b〉 Finite non-commutative monoid with 36 elements
10 〈a, b | aaa=1, baabbb=a〉 Finite non-Abelian group with 36 elements 4 isomorphic
11 〈a, b | abb=aaa, bbbb=b〉 Finite non-commutative monoid with 36 elements
11 〈a, b | aaa=ab, bbbb=bb〉 Finite non-commutative monoid with 36 elements
11 〈a, b | aab=a, bbbbbb=b〉 Finite non-commutative monoid with 36 elements