Back

Finite Abelian groups

23 unique, 13859 total

Length:Presentation:Description:Related:
4 〈a, b | aa=1, ab=1〉 Isomorphic to ℤ2 1990 isomorphic
5 〈a, b | aa=a, ab=1〉 Isomorphic to the trivial group 2030 isomorphic
5 〈a, b | aa=b, ab=1〉 Isomorphic to ℤ3 2029 isomorphic
5 〈a, b | aa=b, bb=1〉 Isomorphic to ℤ4 1419 isomorphic
6 〈a, b | aaa=1, abb=1〉 Isomorphic to ℤ6 1373 isomorphic
6 〈a, b | aa=b, abb=1〉 Isomorphic to ℤ5 1132 isomorphic
7 〈a, b | aaa=b, abb=1〉 Isomorphic to ℤ7 763 isomorphic
7 〈a, b | aaa=b, bbb=1〉 Isomorphic to ℤ9 562 isomorphic
7 〈a, b | aab=1, bbbb=1〉 Isomorphic to ℤ8 727 isomorphic
8 〈a, b | aaaa=1, abbb=1〉 Isomorphic to ℤ12 325 isomorphic
8 〈a, b | aaa=b, abbb=1〉 Isomorphic to ℤ10 536 isomorphic
9 〈a, b | aaaa=b, abbb=1〉 Isomorphic to ℤ13 189 isomorphic
9 〈a, b | aaaa=b, bbbb=1〉 Isomorphic to ℤ16 67 isomorphic
9 〈a, b | aaa=bb, abbb=1〉 Isomorphic to ℤ11 259 isomorphic
9 〈a, b | aaab=1, bbbbb=1〉 Isomorphic to ℤ15 138 isomorphic
10 〈a, b | aaaa=bb, abbb=1〉 Isomorphic to ℤ14 165 isomorphic
10 〈a, b | aaaaa=1, abbbb=1〉 Isomorphic to ℤ20 16 isomorphic
10 〈a, b | aaaa=b, abbbb=1〉 Isomorphic to ℤ17 39 isomorphic
10 〈a, b | aaab=1, bbbbbb=1〉 Isomorphic to ℤ18 33 isomorphic
11 〈a, b | aaaaa=b, abbbb=1〉 Isomorphic to ℤ21 13 isomorphic
11 〈a, b | aaaaa=b, bbbbb=1〉 Isomorphic to ℤ25 3 isomorphic
11 〈a, b | aaaab=1, abbbbb=1〉 Isomorphic to ℤ19 20 isomorphic
11 〈a, b | aaaab=1, bbbbbb=1〉 Isomorphic to ℤ24 8 isomorphic