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Infinite non-Abelian groups, 1 auxiliary generator

21 unique, 64 total

Length:Presentation:Description:Related:
8 〈a, b | aabb=1, abba=1〉 Infinite non-Abelian group 7 isomorphic
8 〈a, b | aabb=1, bbaa=1〉 Infinite non-Abelian group 3 isomorphic
8 〈a, b | aa=1, abbabb=1〉 Infinite non-Abelian group 6 isomorphic, 10 anti-isomorphic
8 〈a, b | aa=1, bbabb=a〉 Infinite non-Abelian group 4 isomorphic
10 〈a, b | baa=aab, aabb=1〉 Infinite non-Abelian group 2 isomorphic
10 〈a, b | baa=aab, abab=1〉 Infinite non-Abelian group 1 isomorphic
10 〈a, b | aaabb=1, aabba=1〉 Infinite non-Abelian group 1 isomorphic
10 〈a, b | aaabb=1, abbaa=1〉 Infinite non-Abelian group
10 〈a, b | aaabb=1, baaab=1〉 Infinite non-Abelian group 2 isomorphic
10 〈a, b | aaaa=1, bbabb=a〉 Infinite non-Abelian group
10 〈a, b | abab=1, aabaa=b〉 Infinite non-Abelian group
10 〈a, b | aaa=a, babbab=1〉 Infinite non-Abelian group
10 〈a, b | aaa=1, bbaabb=a〉 Infinite non-Abelian group 2 isomorphic
10 〈a, b | aa=1, ababbaba=1〉 Infinite non-Abelian group 1 isomorphic
10 〈a, b | aa=1, abbbabbb=1〉 Infinite non-Abelian group 1 isomorphic
10 〈a, b | aa=1, bbbabbb=a〉 Infinite non-Abelian group
11 〈a, b | baa=aab, aabbb=1〉 Infinite non-Abelian group 2 isomorphic
11 〈a, b | aaa=1, abbaabba=1〉 Infinite non-Abelian group
11 〈a, b | aaa=1, babaabb=a〉 Infinite non-Abelian group
11 〈a, b | aa=1, abbabbabb=1〉 Infinite non-Abelian group 1 anti-isomorphic
11 〈a, b | aa=1, bbabbabb=a〉 Infinite non-Abelian group