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Infinite non-Abelian groups, 2 auxiliary generators

157 unique, 298 total

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4 〈a, b | abba=1〉 Infinite non-Abelian group
5 〈a, b | aabba=1〉 Infinite non-Abelian group
5 〈a, b | abbba=1〉 Infinite non-Abelian group
6 〈a, b | aaabba=1〉 Infinite non-Abelian group 1 isomorphic
6 〈a, b | aababa=1〉 Infinite non-Abelian group 1 isomorphic
6 〈a, b | aabbba=1〉 Infinite non-Abelian group
6 〈a, b | ababba=1〉 Infinite non-Abelian group
6 〈a, b | abbaab=1〉 Infinite non-Abelian group
6 〈a, b | abbbba=1〉 Infinite non-Abelian group
7 〈a, b | aaaabba=1〉 Infinite non-Abelian group 1 isomorphic
7 〈a, b | aaababa=1〉 Infinite non-Abelian group 2 isomorphic
7 〈a, b | aaabbba=1〉 Infinite non-Abelian group 1 isomorphic
7 〈a, b | aababba=1〉 Infinite non-Abelian group 1 isomorphic, 2 anti-isomorphic
7 〈a, b | aabbaab=1〉 Infinite non-Abelian group 1 isomorphic
7 〈a, b | aabbbba=1〉 Infinite non-Abelian group
7 〈a, b | abbabba=1〉 Infinite non-Abelian group
7 〈a, b | abbbbba=1〉 Infinite non-Abelian group
8 〈a, b | aaaaabba=1〉 Infinite non-Abelian group 2 isomorphic
8 〈a, b | aaaababa=1〉 Infinite non-Abelian group 2 isomorphic
8 〈a, b | aaaabbba=1〉 Infinite non-Abelian group 1 isomorphic
8 〈a, b | aaabaaba=1〉 Infinite non-Abelian group 3 isomorphic
8 〈a, b | aaababba=1〉 Infinite non-Abelian group 1 isomorphic, 2 anti-isomorphic
8 〈a, b | aaabbbba=1〉 Infinite non-Abelian group 1 isomorphic
8 〈a, b | aabaabba=1〉 Infinite non-Abelian group 1 isomorphic, 2 anti-isomorphic
8 〈a, b | aabababa=1〉 Infinite non-Abelian group 2 isomorphic
8 〈a, b | aababbba=1〉 Infinite non-Abelian group 1 anti-isomorphic
8 〈a, b | aabbabba=1〉 Infinite non-Abelian group 1 anti-isomorphic
8 〈a, b | aabbbbba=1〉 Infinite non-Abelian group
8 〈a, b | abaabbba=1〉 Infinite non-Abelian group
8 〈a, b | abababba=1〉 Infinite non-Abelian group
8 〈a, b | ababbaab=1〉 Infinite non-Abelian group
8 〈a, b | ababbaba=1〉 Infinite non-Abelian group 1 isomorphic
8 〈a, b | abbaaaab=1〉 Infinite non-Abelian group
8 〈a, b | abbaabba=1〉 Infinite non-Abelian group
8 〈a, b | abbabbba=1〉 Infinite non-Abelian group
8 〈a, b | abbbaaab=1〉 Infinite non-Abelian group
8 〈a, b | abbbbbba=1〉 Infinite non-Abelian group
9 〈a, b | aaaaaabba=1〉 Infinite non-Abelian group 2 isomorphic
9 〈a, b | aaaaababa=1〉 Infinite non-Abelian group 3 isomorphic
9 〈a, b | aaaaabbba=1〉 Infinite non-Abelian group 2 isomorphic
9 〈a, b | aaaabaaba=1〉 Infinite non-Abelian group 3 isomorphic
9 〈a, b | aaaababba=1〉 Infinite non-Abelian group 1 isomorphic, 3 anti-isomorphic
9 〈a, b | aaaabbbba=1〉 Infinite non-Abelian group 1 isomorphic
9 〈a, b | aaabaabba=1〉 Infinite non-Abelian group
9 〈a, b | aaabababa=1〉 Infinite non-Abelian group 2 isomorphic, 1 anti-isomorphic
9 〈a, b | aaababbba=1〉 Infinite non-Abelian group 1 isomorphic, 1 anti-isomorphic
9 〈a, b | aaabbaaab=1〉 Infinite non-Abelian group 2 isomorphic
9 〈a, b | aaabbaaba=1〉 Infinite non-Abelian group 1 anti-isomorphic
9 〈a, b | aaabbabba=1〉 Infinite non-Abelian group
9 〈a, b | aaabbbbba=1〉 Infinite non-Abelian group 1 isomorphic
9 〈a, b | aabaababa=1〉 Infinite non-Abelian group
9 〈a, b | aabaabbba=1〉 Infinite non-Abelian group 1 isomorphic, 1 anti-isomorphic
9 〈a, b | aabababba=1〉 Infinite non-Abelian group 1 isomorphic, 2 anti-isomorphic
9 〈a, b | aababbaab=1〉 Infinite non-Abelian group 2 isomorphic, 1 anti-isomorphic
9 〈a, b | aababbaba=1〉 Infinite non-Abelian group 2 isomorphic
9 〈a, b | aababbbba=1〉 Infinite non-Abelian group 1 anti-isomorphic
9 〈a, b | aabbaaaab=1〉 Infinite non-Abelian group
9 〈a, b | aabbaaabb=1〉 Infinite non-Abelian group 1 anti-isomorphic
9 〈a, b | aabbabbaa=1〉 Infinite non-Abelian group
9 〈a, b | aabbabbba=1〉 Infinite non-Abelian group 1 anti-isomorphic
9 〈a, b | aabbbaaba=1〉 Infinite non-Abelian group
9 〈a, b | aabbbbaab=1〉 Infinite non-Abelian group
9 〈a, b | aabbbbbba=1〉 Infinite non-Abelian group
9 〈a, b | abaaaabba=1〉 Infinite non-Abelian group
9 〈a, b | abaabbaba=1〉 Infinite non-Abelian group
9 〈a, b | abaabbbba=1〉 Infinite non-Abelian group
9 〈a, b | ababbabba=1〉 Infinite non-Abelian group
9 〈a, b | ababbbaab=1〉 Infinite non-Abelian group
9 〈a, b | abbaaaaab=1〉 Infinite non-Abelian group
9 〈a, b | abbaaabba=1〉 Infinite non-Abelian group 1 isomorphic
9 〈a, b | abbabbbba=1〉 Infinite non-Abelian group
9 〈a, b | abbbaaaab=1〉 Infinite non-Abelian group
9 〈a, b | abbbabbba=1〉 Infinite non-Abelian group
9 〈a, b | abbbbbbba=1〉 Infinite non-Abelian group
10 〈a, b | aaaaaaabba=1〉 Infinite non-Abelian group 3 isomorphic
10 〈a, b | aaaaaababa=1〉 Infinite non-Abelian group 3 isomorphic
10 〈a, b | aaaaaabbba=1〉 Infinite non-Abelian group 2 isomorphic
10 〈a, b | aaaaabaaba=1〉 Infinite non-Abelian group 3 isomorphic
10 〈a, b | aaaaababba=1〉 Infinite non-Abelian group 2 isomorphic, 3 anti-isomorphic
10 〈a, b | aaaaabbbba=1〉 Infinite non-Abelian group 2 isomorphic
10 〈a, b | aaaabaaaba=1〉 Infinite non-Abelian group 2 isomorphic
10 〈a, b | aaaabaabba=1〉 Infinite non-Abelian group 1 isomorphic, 3 anti-isomorphic
10 〈a, b | aaaabababa=1〉 Infinite non-Abelian group 2 isomorphic
10 〈a, b | aaaababbba=1〉 Infinite non-Abelian group 1 isomorphic, 2 anti-isomorphic
10 〈a, b | aaaabbabba=1〉 Infinite non-Abelian group
10 〈a, b | aaaabbbbba=1〉 Infinite non-Abelian group 1 isomorphic
10 〈a, b | aaabaaabba=1〉 Infinite non-Abelian group 3 isomorphic, 2 anti-isomorphic
10 〈a, b | aaabaababa=1〉 Infinite non-Abelian group 1 isomorphic, 1 anti-isomorphic
10 〈a, b | aaabaabbba=1〉 Infinite non-Abelian group 2 isomorphic, 2 anti-isomorphic
10 〈a, b | aaababaaab=1〉 Infinite non-Abelian group 2 isomorphic, 1 anti-isomorphic
10 〈a, b | aaabababba=1〉 Infinite non-Abelian group 1 isomorphic, 1 anti-isomorphic
10 〈a, b | aaababbaba=1〉 Infinite non-Abelian group 3 isomorphic
10 〈a, b | aaababbbba=1〉 Infinite non-Abelian group 1 isomorphic, 1 anti-isomorphic
10 〈a, b | aaabbaabba=1〉 Infinite non-Abelian group
10 〈a, b | aaabbabbaa=1〉 Infinite non-Abelian group
10 〈a, b | aaabbabbba=1〉 Infinite non-Abelian group 2 isomorphic, 2 anti-isomorphic
10 〈a, b | aaabbbaaab=1〉 Infinite non-Abelian group 1 isomorphic
10 〈a, b | aaabbbbbba=1〉 Infinite non-Abelian group 1 isomorphic
10 〈a, b | aabaaaaaba=1〉 Infinite non-Abelian group
10 〈a, b | aabaaabbba=1〉 Infinite non-Abelian group 1 isomorphic
10 〈a, b | aabaababba=1〉 Infinite non-Abelian group
10 〈a, b | aabaabbaab=1〉 Infinite non-Abelian group 3 isomorphic
10 〈a, b | aabaabbaba=1〉 Infinite non-Abelian group
10 〈a, b | aababaaaab=1〉 Infinite non-Abelian group
10 〈a, b | aababaabba=1〉 Infinite non-Abelian group
10 〈a, b | aababababa=1〉 Infinite non-Abelian group 1 anti-isomorphic
10 〈a, b | aababbaaab=1〉 Infinite non-Abelian group
10 〈a, b | aababbaaba=1〉 Infinite non-Abelian group
10 〈a, b | aababbabba=1〉 Infinite non-Abelian group 1 anti-isomorphic
10 〈a, b | aababbbaba=1〉 Infinite non-Abelian group
10 〈a, b | aababbbbba=1〉 Infinite non-Abelian group 1 anti-isomorphic
10 〈a, b | aabbaaaaab=1〉 Infinite non-Abelian group 1 anti-isomorphic
10 〈a, b | aabbaaaabb=1〉 Infinite non-Abelian group
10 〈a, b | aabbaaabba=1〉 Infinite non-Abelian group
10 〈a, b | aabbaababa=1〉 Infinite non-Abelian group
10 〈a, b | aabbaabbaa=1〉 Infinite non-Abelian group
10 〈a, b | aabbaabbba=1〉 Infinite non-Abelian group 1 isomorphic, 1 anti-isomorphic
10 〈a, b | aabbabaaab=1〉 Infinite non-Abelian group
10 〈a, b | aabbabaaba=1〉 Infinite non-Abelian group 1 isomorphic
10 〈a, b | aabbababba=1〉 Infinite non-Abelian group
10 〈a, b | aabbbaaaab=1〉 Infinite non-Abelian group 1 anti-isomorphic
10 〈a, b | aabbbbaaab=1〉 Infinite non-Abelian group
10 〈a, b | aabbbbbaab=1〉 Infinite non-Abelian group 1 anti-isomorphic
10 〈a, b | aabbbbbbba=1〉 Infinite non-Abelian group
10 〈a, b | abaaaaaaba=1〉 Infinite non-Abelian group
10 〈a, b | abaaaaabab=1〉 Infinite non-Abelian group
10 〈a, b | abaaaabaab=1〉 Infinite non-Abelian group
10 〈a, b | abaaaababa=1〉 Infinite non-Abelian group
10 〈a, b | abaaababba=1〉 Infinite non-Abelian group
10 〈a, b | abaaabbaab=1〉 Infinite non-Abelian group 1 anti-isomorphic
10 〈a, b | abaaabbaba=1〉 Infinite non-Abelian group
10 〈a, b | abaaabbbba=1〉 Infinite non-Abelian group
10 〈a, b | abaabbbaab=1〉 Infinite non-Abelian group
10 〈a, b | ababaaabab=1〉 Infinite non-Abelian group 1 isomorphic
10 〈a, b | ababaabbba=1〉 Infinite non-Abelian group
10 〈a, b | ababababba=1〉 Infinite non-Abelian group
10 〈a, b | abababbaab=1〉 Infinite non-Abelian group
10 〈a, b | abababbaba=1〉 Infinite non-Abelian group
10 〈a, b | abababbbba=1〉 Infinite non-Abelian group
10 〈a, b | ababbaabab=1〉 Infinite non-Abelian group
10 〈a, b | ababbaabba=1〉 Infinite non-Abelian group 1 isomorphic
10 〈a, b | ababbabaab=1〉 Infinite non-Abelian group
10 〈a, b | ababbbabba=1〉 Infinite non-Abelian group
10 〈a, b | ababbbbaab=1〉 Infinite non-Abelian group
10 〈a, b | abbaaaaaab=1〉 Infinite non-Abelian group
10 〈a, b | abbaaaabba=1〉 Infinite non-Abelian group
10 〈a, b | abbaaabaab=1〉 Infinite non-Abelian group
10 〈a, b | abbaabaaab=1〉 Infinite non-Abelian group
10 〈a, b | abbaabbaab=1〉 Infinite non-Abelian group
10 〈a, b | abbaabbbba=1〉 Infinite non-Abelian group
10 〈a, b | abbababaab=1〉 Infinite non-Abelian group
10 〈a, b | abbabbaaab=1〉 Infinite non-Abelian group
10 〈a, b | abbabbabba=1〉 Infinite non-Abelian group
10 〈a, b | abbbaaaaab=1〉 Infinite non-Abelian group
10 〈a, b | abbbaabbba=1〉 Infinite non-Abelian group
10 〈a, b | abbbabbbba=1〉 Infinite non-Abelian group
10 〈a, b | abbbbbbbba=1〉 Infinite non-Abelian group