Infinite non-Abelian groups, two auxiliary generators

Up:Monoids with two generators and one relation
89 unique, 673 total

Solved by magic:0

Σ#PresentationDescriptionRelated
414⟨a, b | abba=1⟩Infinite non-Abelian group14 iso
530⟨a, b | aabba=1⟩Infinite non-Abelian group40 iso
660⟨a, b | aaabba=1⟩Infinite non-Abelian group19 iso
667⟨a, b | aabbba=1⟩Infinite non-Abelian group8 iso
7131⟨a, b | aaaabba=1⟩Infinite non-Abelian group11 iso
7139⟨a, b | aaabbba=1⟩Infinite non-Abelian group16 iso
7145⟨a, b | aababba=1⟩Infinite non-Abelian group22 iso, 22 anti-iso
8275⟨a, b | aaaaabba=1⟩Infinite non-Abelian group7 iso
8283⟨a, b | aaaabbba=1⟩Infinite non-Abelian group7 iso
8290⟨a, b | aaababba=1⟩Infinite non-Abelian group9 iso, 10 anti-iso
8298⟨a, b | aaabbbba=1⟩Infinite non-Abelian group1 iso
8310⟨a, b | aababbba=1⟩Infinite non-Abelian group2 iso
8336⟨a, b | abbaabba=1⟩Infinite non-Abelian group
9601⟨a, b | aaaaaabba=1⟩Infinite non-Abelian group8 iso
9609⟨a, b | aaaaabbba=1⟩Infinite non-Abelian group3 iso
9617⟨a, b | aaaababba=1⟩Infinite non-Abelian group2 iso, 3 anti-iso
9625⟨a, b | aaaabbbba=1⟩Infinite non-Abelian group3 iso
9639⟨a, b | aaababbba=1⟩Infinite non-Abelian group3 iso, 2 anti-iso
9664⟨a, b | aabaabbba=1⟩Infinite non-Abelian group6 iso, 7 anti-iso
9670⟨a, b | aabababba=1⟩Infinite non-Abelian group8 iso, 10 anti-iso
9672⟨a, b | aababbaba=1⟩Infinite non-Abelian group10 iso
9678⟨a, b | aabbaaabb=1⟩Infinite non-Abelian group12 iso
101281⟨a, b | aaaaaaabba=1⟩Infinite non-Abelian group4 iso
101289⟨a, b | aaaaaabbba=1⟩Infinite non-Abelian group3 iso
101297⟨a, b | aaaaababba=1⟩Infinite non-Abelian group3 iso, 3 anti-iso
101305⟨a, b | aaaaabbbba=1⟩Infinite non-Abelian group4 iso
101312⟨a, b | aaaabaabba=1⟩Infinite non-Abelian group6 iso, 8 anti-iso
101320⟨a, b | aaaababbba=1⟩Infinite non-Abelian group3 iso, 3 anti-iso
101336⟨a, b | aaaabbbbba=1⟩Infinite non-Abelian group1 iso
101356⟨a, b | aaabababba=1⟩Infinite non-Abelian group2 iso, 3 anti-iso
101360⟨a, b | aaababbaba=1⟩Infinite non-Abelian group3 iso
101364⟨a, b | aaababbbba=1⟩Infinite non-Abelian group3 iso
101370⟨a, b | aaabbaabba=1⟩Infinite non-Abelian group4 iso
101377⟨a, b | aaabbabbba=1⟩Infinite non-Abelian group3 iso, 3 anti-iso
101408⟨a, b | aabaababba=1⟩Infinite non-Abelian group5 iso
101419⟨a, b | aababaabba=1⟩Infinite non-Abelian group5 iso
101425⟨a, b | aabababbba=1⟩Infinite non-Abelian group2 iso
101433⟨a, b | aababbbaba=1⟩Infinite non-Abelian group1 iso
101441⟨a, b | aabbaaabba=1⟩Infinite non-Abelian group1 iso
101446⟨a, b | aabbaabbba=1⟩Infinite non-Abelian group3 iso
101451⟨a, b | aabbababba=1⟩Infinite non-Abelian group4 iso
112783⟨a, b | aaaaaaaabba=1⟩Infinite non-Abelian group4 iso
112791⟨a, b | aaaaaaabbba=1⟩Infinite non-Abelian group4 iso
112799⟨a, b | aaaaaababba=1⟩Infinite non-Abelian group3 iso, 4 anti-iso
112807⟨a, b | aaaaaabbbba=1⟩Infinite non-Abelian group4 iso
112815⟨a, b | aaaaabaabba=1⟩Infinite non-Abelian group3 iso, 4 anti-iso
112823⟨a, b | aaaaababbba=1⟩Infinite non-Abelian group4 iso, 3 anti-iso
112839⟨a, b | aaaaabbbbba=1⟩Infinite non-Abelian group4 iso
112853⟨a, b | aaaabaabbba=1⟩Infinite non-Abelian group3 iso, 4 anti-iso
112861⟨a, b | aaaabababba=1⟩Infinite non-Abelian group2 iso, 4 anti-iso
112865⟨a, b | aaaababbaba=1⟩Infinite non-Abelian group3 iso
112869⟨a, b | aaaababbbba=1⟩Infinite non-Abelian group3 iso, 4 anti-iso
112883⟨a, b | aaaabbabbba=1⟩Infinite non-Abelian group3 iso, 4 anti-iso
112912⟨a, b | aaabaaabbba=1⟩Infinite non-Abelian group4 iso, 3 anti-iso
112932⟨a, b | aaababaabba=1⟩Infinite non-Abelian group2 iso, 4 anti-iso
112949⟨a, b | aaababbbaba=1⟩Infinite non-Abelian group3 iso
112956⟨a, b | aaabbaaaabb=1⟩Infinite non-Abelian group4 iso
112972⟨a, b | aaabbababba=1⟩Infinite non-Abelian group3 iso
112982⟨a, b | aaabbbaaabb=1⟩Infinite non-Abelian group4 iso
113062⟨a, b | aababaabbba=1⟩Infinite non-Abelian group2 iso, 4 anti-iso
113068⟨a, b | aababababba=1⟩Infinite non-Abelian group2 iso, 3 anti-iso
113070⟨a, b | aabababbaba=1⟩Infinite non-Abelian group1 iso, 4 anti-iso

Solved by magic:1

Σ#PresentationDescriptionRelated
101350⟨a, b | aaabaabbba=1⟩Infinite non-Abelian group3 iso, 3 anti-iso
101431⟨a, b | aababbabba=1⟩Infinite non-Abelian group6 iso
112926⟨a, b | aaabaabbbba=1⟩Infinite non-Abelian group3 iso, 4 anti-iso
112940⟨a, b | aaabababbba=1⟩Infinite non-Abelian group3 iso, 3 anti-iso
112946⟨a, b | aaababbabba=1⟩Infinite non-Abelian group4 iso, 3 anti-iso
112966⟨a, b | aaabbaabbba=1⟩Infinite non-Abelian group4 iso, 3 anti-iso
113040⟨a, b | aabaababbba=1⟩Infinite non-Abelian group2 iso, 4 anti-iso
113048⟨a, b | aabaabbbaba=1⟩Infinite non-Abelian group2 iso, 4 anti-iso
113078⟨a, b | aababbaabba=1⟩Infinite non-Abelian group2 iso, 4 anti-iso

Solved by morph:2/0,3/0

Σ#PresentationDescriptionRelated
671⟨a, b | ababba=1⟩Infinite non-Abelian group7 iso
8331⟨a, b | abababba=1⟩Infinite non-Abelian group1 iso
8333⟨a, b | ababbaba=1⟩Infinite non-Abelian group1 iso

Solved by morph:2/0,4/0

Σ#PresentationDescriptionRelated
9645⟨a, b | aaabbabba=1⟩Infinite non-Abelian group8 iso
101515⟨a, b | abababbaba=1⟩Infinite non-Abelian group2 iso
101519⟨a, b | ababbaabba=1⟩Infinite non-Abelian group2 iso

Solved by morph:2/0,5/0

Σ#PresentationDescriptionRelated
101513⟨a, b | ababababba=1⟩Infinite non-Abelian group2 iso

Solved by morph:3/0,2/0

Σ#PresentationDescriptionRelated
8315⟨a, b | aabbabba=1⟩Infinite non-Abelian group2 iso

Solved by morph:3/0,3/0

Σ#PresentationDescriptionRelated
101378⟨a, b | aaabbbaaab=1⟩Infinite non-Abelian group3 iso

Solved by morph:3/0,4/0

Σ#PresentationDescriptionRelated
9631⟨a, b | aaabaabba=1⟩Infinite non-Abelian group5 iso
112875⟨a, b | aaaabbaabba=1⟩Infinite non-Abelian group4 iso
112991⟨a, b | aaabbbabbba=1⟩Infinite non-Abelian group4 iso

Solved by morph:3/0,5/0

Σ#PresentationDescriptionRelated
112831⟨a, b | aaaaabbabba=1⟩Infinite non-Abelian group4 iso

Solved by morph:4/0,3/0

Σ#PresentationDescriptionRelated
101328⟨a, b | aaaabbabba=1⟩Infinite non-Abelian group3 iso

Solved by morph:5/0,4/0

Σ#PresentationDescriptionRelated
101410⟨a, b | aabaabbaba=1⟩Infinite non-Abelian group2 iso, 3 anti-iso
112922⟨a, b | aaabaabbaba=1⟩Infinite non-Abelian group3 iso, 3 anti-iso

Solved by morph:6/0,4/0

Σ#PresentationDescriptionRelated
112918⟨a, b | aaabaababba=1⟩Infinite non-Abelian group3 iso, 3 anti-iso

Solved by morph:6/0,5/0

Σ#PresentationDescriptionRelated
113046⟨a, b | aabaabbabba=1⟩Infinite non-Abelian group3 iso, 4 anti-iso