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Groups given on two generators ,  
Groups given on three generators ,  
 


Groups given on two generators



Description L2-quotients Maple Worksheet Text version Reference Last modified
finitely many L2-quotients, a^2, b^3, (a.b)^7, [a, b]^21 PSL(2, 13), PSL(2, 41), PSL(2, 43) [Maple 11] 2Example5.3.pdf Fab (2009), Ex.3.5.3 22.09.2009
finitely many L2-quotients, b^(-2).a^(-2)... PSL(2, 8) [Maple 11] 2Example9.pdf PlF (2009), Ex.9.1, E. O'Brien 29.09.2009
infinitely many L2-quotients, a^2, b^3, [a, b]^5 component of Krull Dimension 1; finitely many L2-quotients for every prime [Maple 11] 2Example8.1.pdf PlF (2009), Ex.8.1 10.10.2009

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Groups given on three generators

Description L2-quotients Maple Worksheet Text version Reference Last modified
no L2-quotients, a^5, b^5, c^5, (ab)^2,... --- [Maple 11] 3Example5.1.pdf Fab (2009), Ex.3.5.1 22.09.2009
finitely many L2-quotients a^5, b^5, c^5, (ab)^2,... PSL(2, 11) [Maple 11] 3Example5.2.pdf Fab (2009), Ex.3.5.2 22.09.2009
finitely many L2-quotients a^5, b^5, c^5, (ab)^2,... PSL(2, 3^2), PSL(2, 31) [Maple 11] 3Example5.4.pdf Fab (2009), Ex.3.5.4 29.11.2009
finitely many L2-quotients, a^3, b^8, c^11, (ab)^2,... PGL(2, 23) [Maple 11] 3Example1.pdf Fab (2009), Ex.3.5.5 22.09.2009
infinitely many L2-quotients a^3, b^3, c^2, (ca)^3, [a,b] PSL(2, 3^m) [Maple 11] 3Example5.6.pdf Fab (2009), Ex.3.5.6 29.11.2009
infinitely many L2-quotients a^2, b^2, c^2, (ab)^3, (ac)^4, (bc)^5 finitely many L2-quotients for infinitely many prime [Maple 11] 3Example5.7.pdf Fab (2009), Ex.3.5.7 29.11.2009
infinitely many L2-quotients c^7, (ab)^3, (bc)^3, (abc)^4, (abac)^3 Components of higher Krull dimension; infinitely many primes [Maple 11] 3Example5.8.pdf Fab (2009), Ex.3.5.8 29.11.2009

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