1210 



Discrete Groups of Finite and of Infinite Order 



Number of values a function can take by 



permutation of its letters. Jordan, C. Par. 



F,c. Pol. J. 22 (1861) (cah. 38) 113-. 

 . Gosiewski, 



W. Par. T. Nauk S"c. Pam. 2 (*1872) 1-; 



(x) Bll. Sc. Mth. As. 6 (1874) 154-. 

 . Bochert, 



A. Mth. A. 33 (1889) 584-; 40 (1892) 



157-. 

 . Carton, 



E. Par. S. Mth. Bll. 22 (1894) 230-. 

 . Bochert, 



A. Mth. A. 49 (1897) 113-. 

 of rational functions of given number 



of letters, etc. Spina, C. Em. At. N. 



Line. 21 (1868) 182-. 

 variables in irreducible group. Molien, 



T. Dorpat Sb. 11 (1896) 277-. 

 Octahedron, forms connected with the. 



Pittarelli, G. Em. E. Ac. Line. Ed. 4 



(1888) (San. 1) 509-. 

 Operation groups. Cesaro, E. Em. E. Ac. 



Line. Ed. 2 (1886) (Sem. 2) 35-. 

 . Le Vavasseur, R. P. C. E. 122 



(1896) 180-, 516-, 711-. 



. Miller, G. A. C. E. 128 (1899) 



227-, 628. 

 , generation. Frattini, G. Em. E. Ac. 



Line. Ed. 1 (1885) 281-, 455-; 2 (1886) 



(Sem. 1) 16-. 

 of order Sp, p being any prime number. 



Miller, G. A. Ph. Mg. 42 (1896) 195-. 

 p a , p being any prime number. 



Miller, G. A. Mess. Mth. 27 (1898) 119-. 



f order less than 64, and order 2p 3 , 

 p being prime. Miller, G. A. QJ. Mth. 

 30 (1899) 243-. 



, theorems on. Miller, G. A. [1896] N. 



Y. Am. Mth. S. Bll. 3 (1897) 111-. 



symbols involving Galois' imaginaries. 

 Le Vavasseur, E. P. Toul. Ac. Sc. Mm. 9 



(1897) 247-. 



Operations, a group of. Brunei, G. Bordeaux 

 S. Sc. PV. (1896-97) 30-. 



and substitutions, groups of. Maillet, E. 

 As. Fr. C. E. (1897) (Pt. 2) 190-. 



Orthogonal group in a Galois field. Dickson, 



L. E. N. Y. Am. Mth. S. Bll. 4 (1898) 



196-. 

 , groups derived from. Dickson, L. E. 



[1898-99] N. Y. Am. Mth. S. Bll. 4 (1898) 



382-, 560 ; Calif. Ac. P. (Mth. Ps.) 1 (1903) 



29-, 47-. 

 Perfect groups.- Miller, G. A. Am. J. Mth. 



20 (1898) 277-. 

 Permutable substitutions. Baraniecki, M. A. 



Par. T. Nauk Sc. Pam. 7 (*1875) Art. 7, 



35pp. 

 Permutants, note. Bilenki, H. N. A. Mth. 



19 (1900) 213-. 

 Permutation-groups of 8 things. Wiman, A. 



Gott. Nr. (1897) 55-. 

 Permutations, relation between number of 



alternate and quasi-alternate. Andre, D. 



Par. S. Phlm. Bll. 8 (1896) 5-. 

 , transformation and classification. Sprague, 



T. B. Edinb. Mth. S. P. 9 (1891) 59-. 



1210 



Position of inflection points in a plane cubic. 



Disteli, M. Ziir. Vjschr. 35 (1890) 145-. 

 Possible types of plane quartics, multiply 



homological with themselves. Ciani, E. 



Palermo Cir. Mt. Ed. 13 (1899) 347-. 

 Primitive groups. Jordan, C. Liouv. J. Mth. 



16 (1871) 283-; (x) Par. S. Mth. Bll. 1 



(1873) 175-. 



. Rudio, F. Crelle J. Mth. 102 (1888) 1-. 



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



Par. S. Mth. Bll. 25 (1897) 16-. 

 n-2 and degree n. Maillet, E. 



As. Fr. C. E. (1898) (Pt. 2) 157-. 

 , classification. Jordan, C. C. E. 73 



(1871) 853-. 

 containing a given substitution, limit 



of degree. Jordan, C. C. E. 78 (1874) 



1217- ; Crelle J. Mth. 79 (1875) 248-. 

 of degree less than 17, enumeration. 



Miller, G. A. C. E. 124 (1897) 1505- ; 



125 (1897) 673. 



for first 17 degrees, enumeration. 

 Jordan, C. C. E. 75 (1872) 1754-. 



, holohedrically isomorphic with groups 



several times transitive. Maillet, E. C. E. 



124 (1897) 351-; Liouv. J. Mth. 3 (1897) 



277-. 

 , mode of formation. Maillet, E. QJ. 



Mth. 27 (1895) 119-. 



substitution groups of degree 10, 15, and 

 16. Miller, G. A. L. Mth. S. P. 28 (1897) 

 533-; Am. J. Mth. 20 (1898) 229-; QJ. 

 Mth. 31 (1900) 228-. 



Primitivity of groups. Dyck, W. C. E. 96 

 (1883) 1024-. 



and transitivity of discrete group. Dyck, 

 W. [1881-82] Mth. A. 20 (1882) 1-; 22 

 (1883) 70-. 



Quartic of Klein, theorem concerning. Ciani, 



E. Mil. I. Lomb. Ed. 33 (1900) 565-. 

 Quaternary group of 51840 linear substitutions. 



Morrice, G. G. [1889-92] L. Mth. S. P. 



21 (1891) 58-; 23 (1892) 213-. 

 substitutions with ternary Hessian 



for sub-group. Maschke, H. Gott. Nr. 



(1888) 78-; Mth. A. 33 (1889) 317-. 



quadratic forms, and polyhedral groups. 

 Bianchi, L. A. Mt. 21 (1893) 237-; 23 

 (1895) 1-; Em. E. Ac. Line. Ed. 3 (1894) 

 (Sem. 1) 3-. 



Quotient G/H in the theory of groups, note 



on so-called. Cayley, A, Am. J. Mth. 15 



(1893) 387-. 

 Eational functions, theory. Beke, E. Mth. 



A. 47 (1896) 441-. 

 Eeduction of the Galois group of an equation 



by adjunction of arbitrary irrationalities. 



Bucca, F. Palermo Cir. Mt. Ed. 14 (1900) 



122-. 

 Eegular substitution groups of order less than 



48. Miller, G. A. QJ. Mth. 28 (1896) 232-. 

 Eepresentation, analytical, of substitutions. 



Polignac, C. de. Par. S. Mth. Bll. 9 (1881) 



59-. 

 , , for a prime number of elements. 



Grandi, A. G. Mt. 19 (1881) 238-. 

 , , , theorem generalised. Grandi, 



A. Mil. I. Lomb. Ed. 16 (1883) 101-. 



70 



