1200 Theory of Groups. General 



Invariants of groups of linear substitutions. 

 Molien, T. Berl. Ak. Sb. (1897) 1152-. 



Inversion groups on quadric surfaces. Kasner, 

 E. N. Y. Am. Mth. S. T. 1 (1900) 430-. 



Linear differential equations, arithmetical de- 

 velopments. Fricke, R. D. Mth. Vr. Jbr. 

 2 (1893) 59-. 



, form of integrals. Johanson, A. M. 



Stockh. Ofv. (1889) 583-. 



, theory. Volterra, V. Em. S. It. 



Mm. 6 (1887) No. 8, 104 pp. 



groups of functions. Pincherle, S. Bologna 

 Ac. Sc. Mm. 6 (1884) 101-. 



, report on recent progress. Dickson, L. E. 



[1899] N. Y. Am. Mth. S. Bll. 6 (1900) 



13-. 

 Maximum groups. Kirkman, T. P. Manch. 



Ph. S. P. 3 (1862-63) 59-. 

 Non-isomorphic simple groups of the same 



order. Schottenfels, I. M. [1898] A. Mth. 



1 (1900) 147-. 



-modular groups. Kirkman, T. P. (m) 

 [1862] Manch. Ph. S. Mm. 2 (1865) 204-. 



Popular account of new fields of mathematics. 



Miller, G. A. Science 11 (1900) 528-. 

 Prime factors of the group-determinant. Fro- 

 benius, G. Berl. Ak. Sb. (1896) 1343-. 

 Eational and linear substitutions, the group of. 



Cordone, G. Tor. Ac. Sc. At. 31 (1895) 472- 



or 804- . 

 Eegions of discontinuity for groups of real 



linear substitutions of a complex variable. 



Fricke, R. Gott. Nr. (1895) 360-. 

 Eepresentation of finite groups by linear sub- 

 stitutions. Frobenius, G. Berl. Ak. Sb. 



(1897) 995-; (1899) 482-. 

 Euled surfaces admitting homographic auto- 

 morphic transformation. Bioche, C. Par. 



S. Phlm. Bll. 4 (1892) 130-. 

 Singular transformations of groups. Taber, H. 



N. Y. Am. Mth. S. Bll. 6 (1900) 199-. 

 . Newson, H. B. N. Y. Am. Mth. 



S. Bll. 6 (1900) 431-. 

 Sub-groups of doubly infinite series of simple 



groups. Wiman, A. Stockh. Ak. Hndl. 



Bh. 25 (1900) (Afd. 1) No. 2, 47 pp. 

 general projective group. Taber, H. 



N. Y. Am. Mth. S. Bll. 2 (1896) 221-, 



346. 

 Substitution groups, fundamental theorem. 



Miller, G. A. [1895] N. Y. Am. Mth. S. 



Bll. 2 (1896) 75-. 

 Substitutions. Zochios, . C. E. 120 (1895) 



766-. 

 Symmetrical group, characteristics. Frobenius, 



G. Berl. Ak. Sb. (1900) 516-. 

 Test of a simple group. Miller, G. A. N. Y. 



Am. Mth. S. Bll. 1 (1895) 124-. 

 Uniform substitutions. Koenigs, G. Bll. Sc. 



Mth. As. 7 (1883) 340-. 



. Podetti, F. G. Mt. 35 (1897) 264-. 



Vanishing groups. Cockle, Jas. Camb. and 



Dubl. Mth. J. 6 (1851) 174- ; 7 (1852) 114- ; 



8 (1853) 50-. 



Discrete Groups 1210 



1210 Discrete groups of finite and 

 of infinite order (including 

 groups of permutations). See 

 also 2450, 4440. 



Abelian general linear group, new definition. 

 Dickson, L. E. N. Y. Am. Mth. S. T. 1 

 (1900) 91-. 



groups. Heffter, L. Crelle J. Mth. 119 

 (1898) 261-. 



. Searpu, U. G. Mt. 38 (1900) 225-. 



and linear modular systems. Fund, 0. 

 Hamb. Mth. Gs. Mt. 3 (1900) 371-. 



, and their application to number theory. 



Zsigmondy, K. Mh. Mth. Ps. 7 (1896) 



185-. 

 Abstract group isomorphic with the symmetric 



group on k letters. Dickson, L. E. L. Mth. 



S. P. 31 (1900) 351-. 



groups of degree 32. Bagnera, G. A. Mt. 

 2 (1899) 263-. 



order *1 and J*!. Moore, E. H. 



[1896] L. Mth. S. P. 28 (1897) 357-. 



simple group of order 2 7 . 3 6 . 5 . 7, a certain. 

 Dickson, L. E. N. Y. Am. Mth. S. T. 1 

 (1900) 353-, 509. 



Alternating group, uniform character. Beke, E. 

 Mth. A. 49 (1897) 581-. 



groups. Kbnig, G. (xii) Mth. Tennt. Ets. 

 1 (1883) 213- ; Mth. Nt. B. Ung. 1 (1882-83) 

 191-. 



Analytical representation of a heptagram. 

 Rogers, L. J. [1890] L. Mth. S. P. 22 

 (1891) 37-. 



Arithmetical group, laws of reciprocity and sub- 

 groups. Stouff, X. Par. 6c. Norm. A. 10 

 (1893) 295-. 



Automorphic functions of two variables. Pi- 

 card, E. Acta Mth. 1 (1882) 297- ; C. B. 

 97 (1883) 1045-. 



modular groups. Fricke, R. Gott. Nr. 

 (1896) 91-. 



Binary forms with linear automorphic trans- 

 formations. Klein, C. F. [1875] Mth. A. 

 9 (1876) 183-. 



Cayley's color-diagrams, representations of 

 finite groups. Maschke, H. Am. J. Mth. 

 18 (1896) 156-. 



Characteristics of types 3 & 4 and their sub- 

 stitution groups. Pascal, E. A. Mt. 20 

 (1892-93) 163- ; Bm. E. Ac. Line. Ed. 2 

 (1893) (Sem. 1) 120-. 



Commutator groups. Miller, G. A. N. Y. 

 Am. Mth. S. Bll. 4 (1898) 135-. 



Commutators of given group. Miller, G. A. 

 [1899] N. Y. Am. Mth. S. Bll. 6 (1900) 105-. 



Composite groups. Bumside, W. Mess. Mth. 

 24 (1895) 82-. 



, formation. Holder, O. Mth. A. 46 

 (1895) 321-. 



, theory. Netto, E. Crelle J. Mth. 78 



(1874) 81-. 

 Configuration of 140 straight lines in space. 



Maschke, H. Mth. A. 36 (1890) 190-. 



66 



