1210 



Discrete Groups of Finite and of Infinite Order 



1210 



Congruence-group contained in the group of 

 linear fractional substitutions. Moore, E. H. 

 Am. As. P. (1892) 62. 



groups of prime rank. Gierster, J. Mth. 

 A. 22 (1883) 111-. 



, theorem. Brioschi, F. Mil. I. Lomb. 



Ed. 12 (1879) 483-. 



Congruences, class of groups denned by. Burn- 

 side, W. L. Mth. S. P. 25 (1894) 113- ; 26 



(1895) 58-. 



Conjugate system of linear substitutions, for- 

 mation. Baraniecki, M. A. Par. T. Nauk 

 Sc. Pam. 10 (*1878) Art. 3, 8 pp. 



Connexion in series and theory of substitutions. 

 Hoyer, P. Mth. A. 42 (1893) 58- ; 49 (1897) 

 39-. 



Crystalline structure and regular point groups. 

 Rohn, K. Leip. Mth. Ps. B. 51 (1899) 

 (Mth.) 445-. 



Cubic surfaces with automorphic collineations. 

 Bobek, K. Mh. Mth. Ps. 10 (1899) 122-, 

 307-. 



, polar hexahedra. Cremona, L. D. Nf. 



B. (*1877) 93-. 



Cyclic subgroups of simple ternary linear 

 fractional group in a Galois field. Dickson, 

 L. E. Am. J. Mth. 22 (1900) 231-. 



Direct product groups. Miller, G. A. N. Y. 

 Am. Mth. S. T. 1 (1900) 66-. 



Discontinuity in certain homographies. Fricke, 

 E. Mth. A. 47 (1896) 557-. 



Discontinuous groups. Poincare, H. C. E. 



94 (1882) 840-. 



in biquadratic field. Fricke, R. Gott. 



Nr. (1892) 268-. 

 and quadratic forms. Picard, E. C. E. 



95 (1882) 763-. 



of real linear substitutions (Poincare's). 



Kepinski, S. Krk. Ak. (Mt.-Prz.) Ez. 6 

 (1893) 37- ; Fschr. Mth. (1893-94) 207-. 



Doubly transitive groups of degree n and order 

 n(n-l). Burnside, W. Mess. Mth. 25 



(1896) 147-. 



2 TO and order 2 (2 m - 1) . Burn- 

 side, W. Mess. Mth. 25 (1896) 187-. 



substitutions of three degrees. 

 Maillet, E. Par. S. Mth. Bll. 25 (1897) 

 189-. 



Exchangeable and decomposable groups. 

 Maillet, E. Par. S. Mth. Bll. 28 (1900) 



Finite group, definition. Bettazzi, R. Tor. 

 Ac. Sc. At. 32 (1896) 240 or 352-. 



groups. Frobenius, G. Berl. Ak. Sb. (1895) 

 163-. 



. Maillet, E. QJ. Mth. 29 (1898) 

 250-. 



. Bauer, M. Mth. Tennt. fits. 17 

 (1899) 611- ; N. A. Mth. 19 (1900) 508-. 



, class of. Burnside, W. Camb. Ph. S. 



T. 18 (1900) 269-. 



contained in group of quadratic homo- 

 geneous transformations. Autonne, L. C. E. 

 97 (1883) 567-. 



linear group, determination. 

 Jordan, C. Nap. Ac. At. 8 (1879) No. 11 

 41 pp. 



Finite groups contained in linear groups, class. 

 Jordan, C. Par. S. Mth. Bll. 5 (1877) 175-. 



of correlations. Kantor, S. Crelle J. 

 Mth. 116 (1896) 171-. 



whose degree is the fifth power of a 



prime. Bagnera, G. A. Mt. 1 (1898) 137-. 



of linear substitutions, fundamental pro- 

 position in theory. Burkhardt, H. Mth. A. 

 41 (1893) 309-. 



, theorem on. Klein, F. D. 



Nf. Vh. (1896) (Th. 2, Hdlfte 1) 5 ; D. Mth. 

 Vr. Jbr. 5 (1901) (Heft 1) 57. 



transformations of a variable. 

 Gordan, P. Mth. A. 12 (1877) 23-. 



. Cayley, A. [1879] 



Mth. A. 16 (1880) 260-, 439-. 

 . Fano, G. Mh. Mth. 



Ps. 7 (1896) 297-. 

 , report on. Miller, G. A. [1898] N. Y. 



Am. Mth. S. Bll. 5 (1899) 227-. 

 -, sets of operations in relation to. White- 

 head, A. N. E. S. P. 64 (1899) 319-. 

 , theory. Valentiner, H. Kjtfb. Dn. Vd. 



Selsk. Skr. 5 (1889-91) 63- (with French 



resume). 

 , . Burnside, W. [1893-95] L. Mth. 



S. P. 25 (1894) 9-; 26 (1895) 191-, 325-, 



559. 



, . Bauer, M. N. A. Mth. 19 (1900) 59-. 



Functions, cyclic. Dziobek, O. Arch. Mth. 



Ps. 69 (1883) 265-. 

 , linear rational, taken according to prime 



modulus, and substitutions to which they 



lead. Serret, J. A. C. E. 48 (1859) 112-, 



178-, 237-. 

 , , of several variables, values. Capelli, A. 



G. Mt. 14 (1876) 141-. 

 , number of values, by permutations of 



letters. Bertrand, J. Par. 6c. Pol. J. 



30 8 cah. (1845) 123-. 

 , , (Bertrand). Serret, 



J. A. Liouv. J. Mth. 14 (1849) 135-. 

 , , . Despeyrons, C. 



Liouv. J. Mth. 10 (1865) 55-. 

 , polynomial, admitting of reduction in 



number of variables. Sylvester, J. J. Ph. 



Mg. 5 (1853) 119-. 



proper to represent substitution of prime 

 number of letters. Rogers, L. J. Mess. 

 Mth. 21 (1892) 44-. 



reproduced by substitution. Cauchy, A. L. 

 C. E. 19 (1844) 1436-. 



of several quantities, nature, formation, 

 and substitutions rendering invariable. 

 Mathieu, E. Liouv. J. Mth. 6 (1861) 241- ; 

 N. A. Mth. 1 (1862) 227-. 



5 or 6 letters, especially those doubly 

 "transitive. Cauchy, A. L. C. E. 21 (1845) 



1401- ; 22 (1846) 1-. 

 4, 5, or 6 letters. Serret, J. A. Liouv. 



J. Mth. 15 (1850) 45-. 

 6 letters, unsymmetrical, historical origin. 



Sylvester, J. J. Ph. Mg. 21 (1861) 369-. 

 7 letters. Hermite, C. C. E. 57 (1863) 



750-. 

 . Brioschi, F. C. E. 95 (1882) 



665-, 814-, 1254-. 



67 



