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〈a, b | aa=1, abbbbbbb=b〉

Monoid presentation of length 11

Properties

Completion parameters

Complete rewriting system

  1. b13 ⇒ b
  2. ab ⇒ b7
  3. a2 ⇒ 1

Idempotents

3 elements

Right Cayley graph

Left Cayley graph

Others with same cardinality

7 unique, 25 total

Length:Presentation:Description:Related:
9 〈a, b | aa=1, abab=bbb〉 Finite non-commutative monoid with 26 elements 10 isomorphic, 7 anti-isomorphic
10 〈a, b | aaa=bb, baab=a〉 Finite non-commutative monoid with 26 elements
10 〈a, b | bb=aa, ababa=a〉 Finite non-commutative monoid with 26 elements
10 〈a, b | bb=aa, ababa=b〉 Finite non-commutative monoid with 26 elements
10 〈a, b | aa=1, ababab=bb〉 Finite non-commutative monoid with 26 elements 1 isomorphic
11 〈a, b | aba=bb, bbabb=a〉 Finite non-commutative monoid with 26 elements
11 〈a, b | aba=b, babbb=aa〉 Finite non-commutative monoid with 26 elements

Other isomorphic instances

1 total

Length:Presentation:
11〈a, b | aa=1, bbbbbbb=ab〉