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〈a, b | aaa=1, abababbb=1〉

Monoid presentation of length 11

Properties

Completion parameters

Inverses of generators

Complete rewriting system

  1. b20 ⇒ 1
  2. b2a ⇒ ab2
  3. ba2 ⇒ abab5
  4. (ba)2 ⇒ a2b17
  5. a3 ⇒ 1

Right Cayley graph

Left Cayley graph

Others with same cardinality

4 unique, 9 total

Length:Presentation:Description:Related:
10 〈a, b | aaa=1, ababbbb=1〉 Finite non-Abelian group with 120 elements 4 isomorphic
11 〈a, b | aaa=bb, ababab=1〉 Finite non-Abelian group with 120 elements
11 〈a, b | aaa=1, baabbbb=a〉 Finite non-Abelian group with 120 elements 1 isomorphic
11 〈a, b | aaa=1, bbababb=a〉 Finite non-Abelian group with 120 elements

Other isomorphic instances

3 total

Length:Presentation:
11〈a, b | aaa=1, ababbbab=1〉
11〈a, b | aaa=1, abbbabab=1〉
11〈a, b | aaa=1, babababb=1〉