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〈a, b | aa=1, abbabba=b〉

Monoid presentation of length 10

Properties

Completion parameters

Complete rewriting system

  1. b13 ⇒ b
  2. bab12 ⇒ ba
  3. b3a ⇒ ab3
  4. a2 ⇒ 1
  5. aba ⇒ b2ab2
  6. ab2a ⇒ bab10

Idempotents

2 elements

Right Cayley graph

Left Cayley graph

Others with same cardinality

3 unique, 8 total

Length:Presentation:Description:Related:
10 〈a, b | aa=1, abbbbba=b〉 Finite non-commutative monoid with 50 elements 2 isomorphic
10 〈a, b | aa=1, abbbb=bab〉 Finite non-commutative monoid with 50 elements 1 isomorphic
11 〈a, b | aa=1, ababbaba=b〉 Finite non-commutative monoid with 50 elements 2 isomorphic

Other isomorphic instances

2 total

Length:Presentation:
10〈a, b | aa=1, abbabb=ba〉
10〈a, b | aa=1, bbabb=aba〉