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〈a, b | aa=1, ababab=bb〉

Monoid presentation of length 10

Properties

Completion parameters

Complete rewriting system

  1. a2 ⇒ 1
  2. b2ab ⇒ ab3
  3. b(ab)2 ⇒ ab2
  4. bab3 ⇒ abab2
  5. b5 ⇒ b3

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
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
11 〈a, b | aa=1, abbbbbbb=b〉 Finite non-commutative monoid with 26 elements 1 isomorphic

Other isomorphic instances

1 total

Length:Presentation:
10〈a, b | aa=1, babab=abb〉