Back

〈a, b | aaaaa=b, bbbbb=1〉

Monoid presentation of length 11

Properties

Completion parameters

Inverses of generators

Complete rewriting system

  1. a25 ⇒ 1
  2. b ⇒ a5

Right Cayley graph

Others with same cardinality

9 unique, 10 total

Length:Presentation:Description:Related:
10 〈a, b | abba=b, baab=a〉 Finite non-commutative monoid with 25 elements
10 〈a, b | aab=a, bbbbb=b〉 Finite non-commutative monoid with 25 elements
10 〈a, b | aaa=a, aaba=bb〉 Finite non-commutative monoid with 25 elements
11 〈a, b | aaaa=a, aabba=b〉 Finite non-commutative monoid with 25 elements
11 〈a, b | abab=a, bbbbb=b〉 Finite non-commutative monoid with 25 elements
11 〈a, b | abba=b, bbabb=a〉 Finite non-commutative monoid with 25 elements
11 〈a, b | aba=b, baabbb=a〉 Finite non-commutative monoid with 25 elements 1 isomorphic
11 〈a, b | aba=a, aaaaa=bb〉 Finite non-commutative monoid with 25 elements
11 〈a, b | aba=b, aaaaa=bb〉 Finite non-commutative monoid with 25 elements

Other isomorphic instances

3 total

Length:Presentation:
11〈a, b | aaaaa=1, abbbbb=1〉
11〈a, b | aaaaa=1, babbbb=1〉
11〈a, b | aaaaa=1, bbabbb=1〉