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〈a, b | aaba=b, bbbbb=1〉

Monoid presentation of length 10

Properties

Completion parameters

Inverses of generators

Complete rewriting system

  1. a33 ⇒ 1
  2. ab ⇒ ba16
  3. b5 ⇒ 1

Right Cayley graph

Left Cayley graph

Others with same cardinality

3 unique, 8 total

Length:Presentation:Description:Related:
11 〈a, b | aabba=b, bbbbb=1〉 Finite non-Abelian group with 165 elements
11 〈a, b | aaba=bb, bbbbb=1〉 Finite non-Abelian group with 165 elements
11 〈a, b | aaaaa=1, aababb=1〉 Finite non-Abelian group with 165 elements 3 isomorphic, 2 anti-isomorphic