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〈a, b | aaa=1, aababbb=1〉

Monoid presentation of length 10

Properties

Completion parameters

Inverses of generators

Complete rewriting system

  1. b28 ⇒ 1
  2. ab ⇒ b9a
  3. a3 ⇒ 1

Right Cayley graph

Left Cayley graph

Others with same cardinality

6 unique, 23 total

Length:Presentation:Description:Related:
9 〈a, b | aaa=1, babbb=a〉 Finite non-Abelian group with 84 elements 2 isomorphic, 1 anti-isomorphic
10 〈a, b | aaa=1, bababb=a〉 Finite non-Abelian group with 84 elements 5 isomorphic, 3 anti-isomorphic
10 〈a, b | aaa=1, babbb=ab〉 Finite non-commutative monoid with 84 elements 3 isomorphic
10 〈a, b | aaa=1, bbabb=ab〉 Finite non-commutative monoid with 84 elements 3 isomorphic
11 〈a, b | aaa=1, baababb=a〉 Finite non-Abelian group with 84 elements
11 〈a, b | aaa=1, baabbab=a〉 Finite non-Abelian group with 84 elements

Other isomorphic instances

2 total

Length:Presentation:
10〈a, b | aaa=1, ababbba=1〉
10〈a, b | aaa=1, abbbaab=1〉

Other anti-isomorphic instances

4 total

Length:Presentation:
10〈a, b | aaa=1, abaabbb=1〉
10〈a, b | aaa=1, babaabb=1〉
11〈a, b | aaa=1, abbbab=aa〉
11〈a, b | aaa=1, baabbb=aa〉