1210 Discrete Groups 



Substitutions, theory, fundamental theorem, 



new proof. Netto,E. Mth. A. 13 (1878) 249-. 

 , (Netto). Miller, G. A. A. Mth. 1 



(1900) 71-. 

 , , primitive groups of, etc. Jordan, C. 



C. E. 79 (1874) 1149-. 

 Surfaces admitting an infinite discontinuous 



group of transformations. Painleve, P. C.B. 



126 (1898) 512-. 

 Sylow's theorem. Frobenius, G. Crelle J. 



Mth. 100 (1887) 179-. 

 , application to symmetric group. Eadcig, 



A. A. Kharkov Mth. S. Com. 5 [1896?] 1-. 

 , extension. Miller, G. A. N. Y. Am. 



Mth. S. Bll. 4 (1898) 323-. 



, generalisation. Frobenius, G. Berl. 

 Ak. Sb. (1895) 981-. 



theorems on groups, illustration. Cayley, 

 A. Mess. Mth. 23 (1894) 59-. 



Symmetric and alternant homographic groups. 

 Maschke, H. Mth. A. 51 (1899) 253-. 



. Wiman, A. Mth. A. 52 



(1899) 243-. 



permutation-groups of n things. 

 Wiman, A. Gott. Nr. (1897) 191-. 



group, note. Burnside, W. [1896] L. 

 Mth. S. P. 28 (1897) 119-. 



System of linear forms, theorem on. Frattini, 



G. Bm. B. Ac. Line. Bd. 2 (1886) (Sem. 1) 



132-. 

 Systems of groups, fundamental theorem 



relative to two. Cauchy, A. L. C. B. 22 



(1846) 630-. 

 Tactic disclosing existence of 4-valued function. 



Sylvester, J. J. Ph. Mg. 21 (1861) 515-. 

 Ternary substitution-groups of finite order, 



which leave a triangle unchanged. Maschke, 



H. Am. J. Mth. 17 (1895) 168-. 

 Theta-fuchsian functions. Ovidio, E. d\ 



Tor. Ac. Sc. At. 29 (1894) 741-. 

 Transitive functions, reduction to intransitive. 



Cauchy, A. L. C. E. 21 (1845) 1199-. 



group, G120 of six letters, invariant functions. 

 Dziobek, 0. Arch. Mth. Ps. 68 (1882) 225-. 



Transitive groups. Maillet, E. A. Mt. 25 



(1897) 219-. 

 of degree n and class n- 1. Maillet, E. 



Par. S. Mth. Bll. 26 (1898) 249-. 



whose degree is the square of a prime. 

 Sylmv, L. Acta Mth. 11 (1887-88) 201-. 



isomorphic to alternating group of six. 



Miller, G. A. Am. Ph. S. P. 36 (1897) 208-. 

 , proofs and theorems. Netto, E. Crelle 



J. Mth. 83 (1877) 43-. 



substitution groups. Bochert, A. Mth. A. 

 40 (1892) 176- ; 49 (1897) 133-. 



. Miller, G. A. Mess. Mth. 28 



(1899) 84-. 

 of degree 12. Miller, G. A. N. Y. 



Am. Mth. S. Bll. 1 (1895) 255-. 

 , list. Miller, G. A. QJ. 



Mth. 28 (1896) 193-. 

 13 and 14. Miller, G. A. 



QJ. Mth. 29 (1898) 224-. 

 17. Miller, G. A. QJ. Mth. 



31 (1900) 49-. 

 isomorphic to a given group. Miller, 



G.A. G. Mt. 38 (1900) 63-. 



Continuous Groups 1230 



Transitive substitution groups of nine letters. 



Cole, F. N. N. Y. Mth. S. Bll. 2 (1893) 



250-. 

 10 and of 11 letters, list. Cole, 



F. N. QJ. Mth. 27 (1895) 39-. 

 24 letters, etc. Wilkinson, A.C.L. 



QJ. Mth. 30 (1899) 157-. 



whose order is the cube of any 

 prime: the non-regular. Miller, G. A. A. 

 Mth. 10 (1895-96) 156-. 



product of three primes: 

 the non-regular. Miller, G.A. Zttr. Vjschr. 

 42 (1897) 68-. 



of order 8p, p being any prime. 

 Miller, G. A. Ph. Mg. 43 (1897) 117-. 



whose orders are products of three 



primes. Miller, G. A. N. Y. Am. Mth. S. 



Bll. 3 (1897) 213-. 

 of same order and degree. Frattini, 



G. Em. E. Ac. Line. At. 14 (1883) 143-. 

 Triple systems. Moore, E. H. Mth. A. 43 



(1893) 271- ; Palermo Cir Mt. Ed. 9 (1895) 



86. 



. Heffter, L. Mth. A. 49 (1897) 101-. 



. Moore, E. H. N. Y. Am. Mth. S. Bll. 



4 (1898) 11-. 

 , theory. Netto, E. Mth. A. 42 (1893) 



143. 

 , . Vries, J. de. Palermo Cir. Mt. Ed. 



8 (1894) 222-. 

 , transitive. Moore, E. H. Mth. A. 50 



(1898) 225-. 



tangent planes of cubic surface, proof of 

 Cayley's theorem. Kohn, G. Mh. Mth. Ps. 

 2 (1891) 343-. 



Two groups in five dimension space. Engel, F. 



D. Mth. Vr. Jbr. 8 (1900) (Heft 1) 196-. 

 Uniform group and linear transformation. 



Kneser, A. Mth. A. 28 (1887) 125-. 

 Universal invariant for finite groups of linear 



substitutions. Moore, E. H. Mth. A. 50 



(1898) 213-. 



1230 Continuous groups of finite 

 and of infinite order. 



Algebraic groups, certain. Cartan, E. C. B. 



120 (1895) 544-. 

 of straight lines and planes. Carda, K. 



Mh. Mth. Ps. 11 (1900) 31-. 



surfaces admitting continuous transitive 

 group of transformations. Fano, G. Palermo 

 Cir. Mt. Bd. 10 (1896) 1-. 



with continuous group of birational trans- 

 formations into them selves. Castelnuovo, G., 

 <& Enriques, F. C. E. 121 (1895) 242-. 



. Painleve, P. 



C. E. 121 (1895) 318-. 



infinite automorphic transformations. 



Enriques, F. Yen. I. At. (1892-93) 1590- ; 

 (1893-94) 638-. 



. Fano, G. Em. E. Ac. 



Line. Ed. 4 (1895) (Sem. 1) 149- ; Palermo 

 Cir. Mt. Bd. 11 (1897) 240-. 



Canonical form, reduction of finite and con- 

 tinuous group of transformations to. Cartan, 

 E. Am. J. Mth. 18 (1896) 1-. 



72 



