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〈a, b | aaba=b, aaabbb=1〉

Monoid presentation of length 11

Properties

Completion parameters

Inverses of generators

Complete rewriting system

  1. a9 ⇒ 1
  2. ab ⇒ ba4
  3. b3 ⇒ a6

Right Cayley graph

Left Cayley graph

Others with same cardinality

14 unique, 86 total

Length:Presentation:Description:Related:
8 〈a, b | bab=aa, bbb=1〉 Finite non-commutative monoid with 27 elements 7 isomorphic
8 〈a, b | aaa=1, abba=b〉 Finite non-commutative monoid with 27 elements 7 isomorphic
8 〈a, b | aaa=1, babb=a〉 Finite non-Abelian group with 27 elements 21 isomorphic
9 〈a, b | bab=aba, bbb=1〉 Finite non-commutative monoid with 27 elements 3 isomorphic
9 〈a, b | bab=aa, bbb=b〉 Finite non-commutative monoid with 27 elements 1 isomorphic
9 〈a, b | aaa=1, aabbab=1〉 Finite non-Abelian group with 27 elements 23 isomorphic
9 〈a, b | aaa=1, ababa=b〉 Finite non-commutative monoid with 27 elements 3 isomorphic
10 〈a, b | aaa=aa, aba=bb〉 Finite non-commutative monoid with 27 elements
10 〈a, b | aaa=1, abaaba=b〉 Finite non-commutative monoid with 27 elements 1 isomorphic
10 〈a, b | aaa=1, baab=aba〉 Finite non-commutative monoid with 27 elements 1 isomorphic
11 〈a, b | aaba=b, aabbab=1〉 Finite non-Abelian group with 27 elements 5 isomorphic
11 〈a, b | aaa=bb, aabaa=b〉 Finite non-commutative monoid with 27 elements
11 〈a, b | aaa=a, abbbbb=b〉 Finite non-commutative monoid with 27 elements
11 〈a, b | aba=b, bbbb=aaa〉 Finite non-commutative monoid with 27 elements

Other isomorphic instances

7 total

Length:Presentation:
11〈a, b | aaba=b, aabbba=1〉
11〈a, b | aaba=b, ababab=1〉
11〈a, b | aaba=b, abbbaa=1〉
11〈a, b | aaba=b, baaabb=1〉
11〈a, b | aaba=b, bababa=1〉
11〈a, b | aaba=b, bbaaab=1〉
11〈a, b | aaba=b, bbbaaa=1〉