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〈a, b | baab=abb, bbbb=1〉

Monoid presentation of length 11

Properties

Completion parameters

Complete rewriting system

  1. a16 ⇒ a
  2. ab ⇒ ba2
  3. b4 ⇒ 1

Idempotents

2 elements

Right Cayley graph

Left Cayley graph

Others with same cardinality

6 unique, 14 total

Length:Presentation:Description:Related:
9 〈a, b | aab=ba, bbbb=1〉 Finite non-commutative monoid with 64 elements 2 isomorphic
10 〈a, b | abab=ba, bbbb=1〉 Finite non-commutative monoid with 64 elements
10 〈a, b | aaaa=1, ababbb=1〉 Finite non-Abelian group with 64 elements 2 isomorphic
10 〈a, b | aa=1, ababa=bbb〉 Finite non-commutative monoid with 64 elements 2 isomorphic
11 〈a, b | aaaa=1, abaab=ba〉 Finite non-commutative monoid with 64 elements
11 〈a, b | aa=1, abababa=bb〉 Finite non-commutative monoid with 64 elements 2 isomorphic

Other isomorphic instances

1 total

Length:Presentation:
11〈a, b | aaaa=1, aaaba=bb〉