1230 Continuous Groups of Finite and of Infinite Order 1230 



Finite continuous group of transformations, 



investigation of the finite equations of a. 



Vessiot, E. Toul. Fac. Sc. A. 10 (1896) C, 



26pp. 

 groups. Autonne, L. Liouv. J. Mth. 3 



(1887) 63-. 



, complete systems and differential 



invariants of. Lindelof, E. Helsingf. Acta 



20 (1895) No. 1, 62 pp. 

 , determination of equations. Vessiot, 



E. C. R. 120 (1895) 77-. 



of Lie's transformations, decom- 

 position. Maillet, E. C. E. 130 (1900) 

 1536^. 



the plane. Williams, F. B. Am. 



Ac. P. 35 (1900) 95-. 

 , structure. Cartan, . C. E. 116 



(1893) 962-. 

 of transformations. Engel, F. Leip. 



Mth. Ps. B. 38 (1886) 83-. 

 primitive groups of Lie's transformations. 



Maillet, E. C. E. 130 (1900) 1602-. 



transformations of a projective group, gene- 

 rated by the infinitesimal transformations of 

 the group. Engel, F. Leip. Mth. Ps. B. 44 

 (1892) 279-; 45 (1893) 659-. 



General projective group, case of degeneration. 



Engel, F. C. E. 118 (1894) 397-. 

 Geometry of functional space. Pincherle, S. 



Bologna Ed. 1 (1897) 85-. 

 Greatest continuous groups of certain systems 



of differential equations, finite character. 



Engel, F. Leip. Mth. Ps. B. 46 (1894) 



297-. 

 Group and invariant, the conceptions. Lie, S. 



Leip. Mth. Ps. B. 39 (1887) 83-. 



of parameters, canonical form. Schur, F. 

 Leip. Mth. Ps. B. 41 (1889) 229-. 



theory applied to hydrodynamics. Wilczyn- 

 ski, E. J. N. Y. Am. Mth. S. T. 1 (1900) 

 339-, 509. 



for equations of the 2nd degree with n 



variables. Werner, H. Mth. A. 35 (1890) 



113-. 

 , geometrical treatment. Paolis, R. de. 



Em. S. It. Mm. 7 (1890) No. 6, 164 pp. 

 , minor contributions. Engel, F. Leip. 



Mth. Ps. B. 39 (1887) 89-; 43 (1891) 47-, 



308-, 585-; 44 (1892) 43-, 292-; 45 (1893) 



360- ; 46(1894)25-. 

 , recent investigations. Lie, S. Leip. 



Mth. Ps. B. 44 (1892) 297-. 

 Groups and algebraic surfaces. Picard, E. 



Palermo Cir. Mt. Ed. 9 (1895) 244-. 



appearing in the theory of analytical func- 

 tions. Medolaghi, P. C. E. 126 (1898) 

 1188-. 



of circular transformations. Newson, H. B. 

 [1897] N. Y. Am. Mth. S. Bll. 4 (1898) 



isomorphous to the group of all the trans- 

 formations of one variable. Medolaghi, P. 

 Palermo Cir. Mt. Ed. 12 (1898) 188-. 



Hyperfuchsian groups. Poincare, H. C. E. 



98 (1884) 503-. 

 Infinite continuous groups. Lie, M. S. Chris- 



tiania F. (1883) No. 12, 56 pp. ; Leip. Mth. 



Ps. Ab. 21 (1895) 43-. 



Infinite continuous groups, theory. Medolaghi, 



P. A. Mt. 25 (1897) 179-. 

 of transformations, foundations of 



theory. Lie, S. Leip. Mth. Ps. B. 43 (1891) 



316-, 353-. 



groups, theorem concerning. Lie, S. 

 Christiania F. (1889) No. 7, 6 pp. 



of transformations. Tresse, A. C. E. 



115 (1892) 1003-. 

 , and integration of differential 



equations. Beudon, J. C. E. 125 (1897) 



811-. 



ternary automorphic transformations, theo- 

 rem on. Fano, G. Em. E. Ac. Line. Ed. 8 

 (1899) (Sem. 1) 562-. 



Infinitesimal automorphic transformations of 

 a Pfaffian equation. Vivanti, G. Palermo 

 Cir. Mt. Ed. 12 (1898) 1-. 



. Weber, E. von. Palermo 



Cir. Mt. Ed. 12 (1898) 133-. 



groups, singular transformations. Taber, H. 

 Am. Ac. P. 35 (1900) 575-. 



transformations of all transitive finite 

 groups, given by quotients of power series. 

 Schur, F. Leip. Mth. Ps. B. 42 (1890) 1-. 



Integral invariants of continuous transforma- 

 tion groups. Zorawski, K. Krk. Ak. (Mt.- 

 Prz.) Ez. 8 (1895) 232-; Crc. Ac. Sc. Bll. 

 (1895) 127-. 



Integrals of canonical system, group interpre- 

 tation. Levi-Civita, T. Em. E. Ac. Line. 

 Ed. 8 (1899) (Sem. 2) 235-. 



Invariant theory of group of motions. Lie, S. 

 Leip. Mth. Ps. B. 48 (1896) 466-. 



Invariants of conies and quadric surfaces given 

 by motion and similitude groups. Lovett, 

 E. O. A. Mth. 11 (1896-97) 33-. 



Isomorphic groups of substitutions with sym- 

 metric or alternate groups. Maillet, . 

 C. E. 119 (1894) 362-. 



Jonquieres groups, generalised. Fano, G. 

 [1898] Tor. Ac. Sc. Mm. 48 (1899) 221-. 



Kummer's configuration, and orthogonal sub- 

 stitutions. Study, E. Leip. Mth. Ps. B. 44 

 (1892) 122-. 



Linear differential equations. Lie, S. Chris- 

 tiania F. (1885) No. 21, 4 pp. 



, groups of transformations. Picard, E. 



C. E. 119 (1894) 584-. 



equations, groups. Poincare, H. Acta 

 Mth. 4 (1884) 201-. 



homogeneous continuous groups. Maurer, L. 

 Munch. Ak. Sb. 24 (1895) 297-. 



whose operations are permutable. 



Burnside, W. L. Mth. S. P. 29 (1898) 325-. 

 group with invariant Pfaffian. Dickson, 



L. E. N. Y. Am. Mth. S. Bll. 5 (1899) 



338-. 



partial differential equations with continuous 

 transformation group. Campbell, J. E. N.Y. 

 Am. Mth. S. T. 1 (1900) 243-, 509. 



Monomial group associated with an infinitesimal 

 projective transformation. Torelli, G. Pa- 

 lermo Cir. Mt. Ed. 8 (1894) 41-. 



Ordinary differential equations which have 

 fundamental systems of integrals. Lie, S. 

 C. E. 116 (1893) 1233-. 



74 



