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Infinite non-Abelian groups

71 unique, 748 total

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4 〈a, b | aa=1, bb=1〉 Infinite non-Abelian group 110 isomorphic
5 〈a, b | aa=1, bbb=1〉 Infinite non-Abelian group 146 isomorphic
6 〈a, b | aaa=1, bbb=1〉 Infinite non-Abelian group 22 isomorphic
6 〈a, b | aa=1, abab=1〉 Infinite non-Abelian group 63 isomorphic
6 〈a, b | aa=1, bbbb=1〉 Infinite non-Abelian group 46 isomorphic
7 〈a, b | aaa=1, abab=1〉 Infinite non-Abelian group 28 isomorphic
7 〈a, b | aaa=1, bbbb=1〉 Infinite non-Abelian group 15 isomorphic
7 〈a, b | aa=1, bbbbb=1〉 Infinite non-Abelian group 47 isomorphic
8 〈a, b | aba=bb, bbb=1〉 Infinite non-Abelian group 5 isomorphic
8 〈a, b | aaaa=1, aabb=1〉 Infinite non-Abelian group 23 isomorphic
8 〈a, b | aaaa=1, abab=1〉 Infinite non-Abelian group 7 isomorphic
8 〈a, b | aaaa=1, bbbb=1〉 Infinite non-Abelian group 1 isomorphic
8 〈a, b | abab=1, baba=1〉 Infinite non-Abelian group 1 isomorphic
8 〈a, b | aba=b, bbbb=1〉 Infinite non-Abelian group 4 isomorphic
8 〈a, b | aaa=1, bbbbb=1〉 Infinite non-Abelian group 7 isomorphic
8 〈a, b | aaa=1, baab=a〉 Infinite non-Abelian group 14 isomorphic
8 〈a, b | aa=1, ababab=1〉 Infinite non-Abelian group 13 isomorphic
8 〈a, b | aa=1, bbbbbb=1〉 Infinite non-Abelian group 8 isomorphic
9 〈a, b | aaa=bb, bbbb=1〉 Infinite non-Abelian group 7 isomorphic
9 〈a, b | aaaa=1, aabbb=1〉 Infinite non-Abelian group 18 isomorphic
9 〈a, b | aaaa=1, bbbbb=1〉 Infinite non-Abelian group 2 isomorphic
9 〈a, b | abab=1, aaaaa=1〉 Infinite non-Abelian group 6 isomorphic
9 〈a, b | aaa=1, ababab=1〉 Infinite non-Abelian group 6 isomorphic
9 〈a, b | aaa=1, abbabb=1〉 Infinite non-Abelian group 10 isomorphic
9 〈a, b | aaa=1, bbbbbb=1〉 Infinite non-Abelian group 2 isomorphic
9 〈a, b | aaa=1, bbabb=a〉 Infinite non-Abelian group 12 isomorphic
9 〈a, b | aa=1, bbbbbbb=1〉 Infinite non-Abelian group 8 isomorphic
10 〈a, b | aaaa=bb, aabb=1〉 Infinite non-Abelian group 5 isomorphic
10 〈a, b | aaaa=bb, bbbb=1〉 Infinite non-Abelian group
10 〈a, b | aabb=ba, baba=1〉 Infinite non-Abelian group 3 isomorphic
10 〈a, b | abab=ba, abba=1〉 Infinite non-Abelian group 4 isomorphic
10 〈a, b | abba=bb, bbbb=1〉 Infinite non-Abelian group
10 〈a, b | aaaaa=1, bbbbb=1〉 Infinite non-Abelian group
10 〈a, b | aaaa=1, aaabab=1〉 Infinite non-Abelian group 2 isomorphic
10 〈a, b | aaaa=1, aabaab=1〉 Infinite non-Abelian group 1 isomorphic
10 〈a, b | aaaa=1, aabbbb=1〉 Infinite non-Abelian group 3 isomorphic
10 〈a, b | aaaa=1, ababab=1〉 Infinite non-Abelian group
10 〈a, b | aaaa=1, abbabb=1〉 Infinite non-Abelian group 1 isomorphic
10 〈a, b | aaaa=1, bbbbbb=1〉 Infinite non-Abelian group
10 〈a, b | abab=1, aaaaaa=1〉 Infinite non-Abelian group
10 〈a, b | aaaa=1, baaab=a〉 Infinite non-Abelian group
10 〈a, b | aaaa=1, babab=a〉 Infinite non-Abelian group
10 〈a, b | aba=b, bbbbbb=1〉 Infinite non-Abelian group
10 〈a, b | bb=aa, aaaaaa=1〉 Infinite non-Abelian group 6 isomorphic
10 〈a, b | aaa=1, bbbbbbb=1〉 Infinite non-Abelian group
10 〈a, b | aa=1, abababab=1〉 Infinite non-Abelian group 1 isomorphic
10 〈a, b | aa=1, abbabbbb=1〉 Infinite non-Abelian group 5 isomorphic
10 〈a, b | aa=1, bbbbbbbb=1〉 Infinite non-Abelian group
11 〈a, b | aabaa=b, bbbbb=1〉 Infinite non-Abelian group
11 〈a, b | aaaaa=1, aabaab=1〉 Infinite non-Abelian group 1 isomorphic
11 〈a, b | aaaaa=1, ababab=1〉 Infinite non-Abelian group
11 〈a, b | aaaaa=1, abbabb=1〉 Infinite non-Abelian group 1 isomorphic
11 〈a, b | aaaaa=1, bbbbbb=1〉 Infinite non-Abelian group
11 〈a, b | aaabb=1, bbbbbb=1〉 Infinite non-Abelian group 1 isomorphic
11 〈a, b | abbba=1, aaaaaa=1〉 Infinite non-Abelian group
11 〈a, b | abba=b, aaabab=1〉 Infinite non-Abelian group 2 isomorphic
11 〈a, b | abba=b, aabaab=1〉 Infinite non-Abelian group 1 isomorphic
11 〈a, b | abba=b, bbbbbb=1〉 Infinite non-Abelian group
11 〈a, b | aaa=bb, bbbbbb=1〉 Infinite non-Abelian group
11 〈a, b | aba=bb, bbbbbb=1〉 Infinite non-Abelian group
11 〈a, b | aaaa=1, aabaabb=1〉 Infinite non-Abelian group 4 isomorphic
11 〈a, b | aaaa=1, aabbbbb=1〉 Infinite non-Abelian group 4 isomorphic
11 〈a, b | aaaa=1, bbbbbbb=1〉 Infinite non-Abelian group
11 〈a, b | abab=1, aaaaaaa=1〉 Infinite non-Abelian group
11 〈a, b | aaa=1, abababab=1〉 Infinite non-Abelian group
11 〈a, b | aaa=1, abbbabbb=1〉 Infinite non-Abelian group 1 isomorphic
11 〈a, b | aaa=1, bbbbbbbb=1〉 Infinite non-Abelian group
11 〈a, b | aaa=1, baabaab=a〉 Infinite non-Abelian group
11 〈a, b | aaa=1, bbabbbb=a〉 Infinite non-Abelian group
11 〈a, b | aaa=1, bbbabbb=a〉 Infinite non-Abelian group
11 〈a, b | aa=1, bbbbbbbbb=1〉 Infinite non-Abelian group