Infinite non-Abelian groups

Up:Monoid enumeration
92 unique, 686 total

Σ#PresentationPropertiesDescriptionφ
414⟨a, b | abba=1⟩Grp Inf14
530⟨a, b | aabba=1⟩Grp Inf40
660⟨a, b | aaabba=1⟩Grp Inf19
667⟨a, b | aabbba=1⟩Grp Inf8
669⟨a, b | abaaba=1⟩Grp Infℤ2 ∗ ℤ5
671⟨a, b | ababba=1⟩Grp Inf7
7131⟨a, b | aaaabba=1⟩Grp Inf11
7139⟨a, b | aaabbba=1⟩Grp Inf16
7145⟨a, b | aababba=1⟩Grp Inf44
8275⟨a, b | aaaaabba=1⟩Grp Inf7
8283⟨a, b | aaaabbba=1⟩Grp Inf7
8290⟨a, b | aaababba=1⟩Grp Inf19
8298⟨a, b | aaabbbba=1⟩Grp Inf1
8310⟨a, b | aababbba=1⟩Grp Inf2
8315⟨a, b | aabbabba=1⟩Grp Inf2
8331⟨a, b | abababba=1⟩Grp Inf1
8333⟨a, b | ababbaba=1⟩Grp Inf1
8336⟨a, b | abbaabba=1⟩Grp Inf
9601⟨a, b | aaaaaabba=1⟩Grp Inf8
9609⟨a, b | aaaaabbba=1⟩Grp Inf3
9617⟨a, b | aaaababba=1⟩Grp Inf5
9625⟨a, b | aaaabbbba=1⟩Grp Inf3
9631⟨a, b | aaabaabba=1⟩Grp Inf5
9639⟨a, b | aaababbba=1⟩Grp Inf5
9645⟨a, b | aaabbabba=1⟩Grp Inf8
9664⟨a, b | aabaabbba=1⟩Grp Inf13
9670⟨a, b | aabababba=1⟩Grp Inf18
9672⟨a, b | aababbaba=1⟩Grp Inf10
9678⟨a, b | aabbaaabb=1⟩Grp Inf12
9704⟨a, b | abaabaaba=1⟩Grp Infℤ3 ∗ ℤ
101281⟨a, b | aaaaaaabba=1⟩Grp Inf4
101289⟨a, b | aaaaaabbba=1⟩Grp Inf3
101297⟨a, b | aaaaababba=1⟩Grp Inf6
101305⟨a, b | aaaaabbbba=1⟩Grp Inf4
101312⟨a, b | aaaabaabba=1⟩Grp Inf14
101320⟨a, b | aaaababbba=1⟩Grp Inf6
101328⟨a, b | aaaabbabba=1⟩Grp Inf3
101336⟨a, b | aaaabbbbba=1⟩Grp Inf1
101350⟨a, b | aaabaabbba=1⟩Grp Inf6
101356⟨a, b | aaabababba=1⟩Grp Inf5
101360⟨a, b | aaababbaba=1⟩Grp Inf3
101364⟨a, b | aaababbbba=1⟩Grp Inf3
101370⟨a, b | aaabbaabba=1⟩Grp Inf4
101377⟨a, b | aaabbabbba=1⟩Grp Inf6
101378⟨a, b | aaabbbaaab=1⟩Grp Inf3
101408⟨a, b | aabaababba=1⟩Grp Inf5
101410⟨a, b | aabaabbaba=1⟩Grp Inf5
101419⟨a, b | aababaabba=1⟩Grp Inf5
101425⟨a, b | aabababbba=1⟩Grp Inf2
101431⟨a, b | aababbabba=1⟩Grp Inf6
101433⟨a, b | aababbbaba=1⟩Grp Inf1
101441⟨a, b | aabbaaabba=1⟩Grp Inf1
101446⟨a, b | aabbaabbba=1⟩Grp Inf3
101451⟨a, b | aabbababba=1⟩Grp Inf4
101513⟨a, b | ababababba=1⟩Grp Inf2
101515⟨a, b | abababbaba=1⟩Grp Inf2
101519⟨a, b | ababbaabba=1⟩Grp Inf2
112783⟨a, b | aaaaaaaabba=1⟩Grp Inf4
112791⟨a, b | aaaaaaabbba=1⟩Grp Inf4
112799⟨a, b | aaaaaababba=1⟩Grp Inf7
112807⟨a, b | aaaaaabbbba=1⟩Grp Inf4
112815⟨a, b | aaaaabaabba=1⟩Grp Inf7
112823⟨a, b | aaaaababbba=1⟩Grp Inf7
112831⟨a, b | aaaaabbabba=1⟩Grp Inf4
112839⟨a, b | aaaaabbbbba=1⟩Grp Inf4
112853⟨a, b | aaaabaabbba=1⟩Grp Inf7
112861⟨a, b | aaaabababba=1⟩Grp Inf6
112865⟨a, b | aaaababbaba=1⟩Grp Inf3
112869⟨a, b | aaaababbbba=1⟩Grp Inf7
112875⟨a, b | aaaabbaabba=1⟩Grp Inf4
112883⟨a, b | aaaabbabbba=1⟩Grp Inf7
112912⟨a, b | aaabaaabbba=1⟩Grp Inf7
112918⟨a, b | aaabaababba=1⟩Grp Inf6
112922⟨a, b | aaabaabbaba=1⟩Grp Inf6
112926⟨a, b | aaabaabbbba=1⟩Grp Inf7
112932⟨a, b | aaababaabba=1⟩Grp Inf6
112940⟨a, b | aaabababbba=1⟩Grp Inf6
112946⟨a, b | aaababbabba=1⟩Grp Inf7
112949⟨a, b | aaababbbaba=1⟩Grp Inf3
112956⟨a, b | aaabbaaaabb=1⟩Grp Inf4
112966⟨a, b | aaabbaabbba=1⟩Grp Inf7
112972⟨a, b | aaabbababba=1⟩Grp Inf3
112982⟨a, b | aaabbbaaabb=1⟩Grp Inf4
112991⟨a, b | aaabbbabbba=1⟩Grp Inf4
113040⟨a, b | aabaababbba=1⟩Grp Inf6
113046⟨a, b | aabaabbabba=1⟩Grp Inf7
113048⟨a, b | aabaabbbaba=1⟩Grp Inf6
113062⟨a, b | aababaabbba=1⟩Grp Inf6
113068⟨a, b | aababababba=1⟩Grp Inf5
113070⟨a, b | aabababbaba=1⟩Grp Inf5
113078⟨a, b | aababbaabba=1⟩Grp Inf6
113109⟨a, b | aabbaababba=1⟩Grp Inf5