Miller — Miller. 



857 



Giora. dl Matern. Batta^Iinl: Abelian groupe, 

 1 S. (41, 1903). — Note on several theorems 

 due to A. Capelli, 3 S. (53, 15). 



Jahresber. d. Deut. Math. Vereinig.: Multiply 

 transitive gr. of transformats. of complete sets 

 of conjugates, 3 S. (19, 1910). — The imprimi- 

 tive Substitut, gr., 5 S. (20, 11). — Maximal 

 Order of the multipljing gr. correspond. to a 

 p-isomorphism of an Abelian gr. of order p™, 

 4 S. (22, 13). — Outer isomorphisms of a gr. 

 whose inner isomorphisms form a gr. having 

 the Square of a prime for its order, 5 S. 

 (23, 14). 



Joum. f. d. reine & an?e>v. Math.: Note on 

 2 2 



the equat. 



& ^2 b^iDg Opera- 



tors of a finite gr., 5 S. (139, 1911) 



London, Math. Soe. Proc: Extens. of Sy- 

 low's theorem, 2 S. (2, 1905). — Gr. involving 

 3 & only 3 Operators which are Square, 6 S. 

 (19, 20). 



Mathemat. Ann.: Generalizat. of the Hamil- 

 tonian gr., 10 S. (60, 1905). — The gr. which 

 contains less than 6 cyclie subgr. of the same 

 Order, 13 S. (64, 07). — Multiple holomorphs 

 of a gr. ,10 S. (66, 09). 



Messenger of Math.: Number of the Abelian 

 sub-gr. in the possible gr. of order 2"", 4 S. 

 (41, 1911/12). — A non-Abelian gr. whose gr. 

 of isomorphisms is Abelian, 2 S. — A gr. of 

 Order p" whose gr. of isomorphisms is of order 

 p*, 3 S. (43, 13/14). — Successive transforms 

 of an Operator with respect to a given Operator, 

 3 S. (45, 15/16). — Ordres of Operators of con- 

 gruence gr. modulo 2^ 3% 3 S. (46, 16/17). — 

 Transitive constituents of the gr. of isomor- 

 phisms of any Abelian gr. of order p"", 7 S. 

 (49, 19/20). — Transformats, of the Sylow 

 subgr., 2 S., (50, 20). 



Paris, Acad. C. R.: L. gr. de Substituts., 2 S. 

 (136, 1903). — L. gr. d'operats., 2 S. (138, 

 04). — L. sous-gr. invariants d'indice p*, 2 S. 

 (140, 05). — Gr. contenant plusieurs operats. 

 de I'ordre 2 , 2 S. (141, 05). — L. gr. engendrees 

 par 2 Operateurs dont chacun transforme le 

 carre de l'autre en son inverse, 2 S. (149, 09). — 

 Le theoreme de Sylow, 1 S. (160, 15). 



Philadelphia, Phil. See. Proc: The gr. 

 which are generated by 2 Operators of Orders 

 2 & 4 respectively whose commutator is of 

 order 2, 5 S. (46, 1907). — Gr. generated by 2 

 Operators each of which tjransforms the square 

 of the other into a power of itself , 5 S. — Some 

 relats. betw. Substitut, gr. properties & ab- 

 stract gr., 8 S. (49, 10). — The totality of the 

 Substituts, on n letters which are commuta- 

 tive with every Substitut, of a given gr. on the 

 same letters, 8 S. (50, 11). 



Phil. Mag.: The gr. of isomorphisms of the 

 gr. whose degree is less than 8, 10 S. (15, 1908). 

 Quart. Joum. et pure a. appi. Math.: The 

 Mathieu System of triply transitive gr., 3 S. 

 (34, 1903). — The roots of the Operators of a 

 gr., 5 S. (36, 05). — Gr. of subtract. & divis., 

 7 S. — A new chapter in trigonometry, 9 S. — 

 Gr. generated by Operators which transform 

 each other into their powers, 3 S. — The com- 

 mutators of a gr. of order p™, 4 S. (37, 06). — 

 Transitive gr. of degree p = 2 q + 1, p & q 

 being prime numbers, 7 S. (39, 08). — The gr. 

 generated by two Operators ( j-^j) satisfying 



a ß 



the equat. 'i '^ = 'j -"i, 13 S. — The gr. 

 generated bv Operators transforming each 

 other into their inverses, 2 S. (40, 09). — 

 Generalisat. of the icosahedral gr., 7 S. — A 

 meth. due to Galois, 3 S. (41, 10). — Effect 

 Poggendorff, Biogr.-Iit. Handwörterbuch. 



on the product when its factors are permuted in 

 every possible manner, 4 S. (42, 10/11). — 

 Note" on ratio matrices, 2 S. (43, 12). — Second 

 note on the gr. generated by Operators trans- 

 forming each other into their inverses, 5 S. — 

 Some properties of the commutators arising 

 fr. an Operator of a given order, 5 S. (44, 13). 

 Tohoiia, Math. Journ.: Abstract proper- 

 ties of the finite groups which can be represen- 

 ted linearly on one variable, 4 S. — New proof 

 of the invariants of an Abelian group, 3 S. 

 (2, 1912). — A theorem in number theorypro- 

 ved by isomorphisms of special Abelian gr., 



2 S. (4, 13/14). — Independent generators 

 contained in a subgr. of an Abelian gr., 4 S. 

 (5, 14). — Representat. gr. of well known systs. 

 of gr., 7 S. — Remarks on the bearing of the 

 theory of gr., 6 S. (6, 14/15). — Gr. which are 

 commutator subgr. of other gr., 6 S. (8, 15). — 

 Automorphisms of period 2 of an Abelian gr. 

 whose order is a power of 2, 10 S. (10, 16). — 

 Exposit. of gr. of a Galois field, 5 S. (11, 17). — 

 Automorphisms of period 2 of an Abelian gr. 

 whose Order is a power of 2, 4 S. (12, 17). — 

 Gr. theory proof of 2 elementary theorems in 

 number theory, 2 S. (13, 18). — Gr. of order g 

 containing gj2 — 1 involuts., 15 S. — Gr. in- 

 volving only Operators whose Orders are divi- 

 sors of 4, 7 S. (17, 20). — Illustrative examples 

 of domains of rationality & their gr., 12 S. 

 (19, 21). 



Washington, Acad. Proc: The $-subgr. of 

 a gr. of finite order, 2 S. — Gr. possessing at 

 least one set of independent generators com- 

 posed of as many Operators as there are prime 

 factors in the order of the gr., 4 S. (1, 1915). — 

 Gr. generated by 2 Operators s^, *2' which 



m n 



satisfy ^'i = s^ , (jj s^)k = 1, s^ Sg = .'j ^l. 



3 S. (6, 20). — An overlooked infinite system 

 of gr. of order pg^. 2 S. — Gr. of isomorphisms 

 of a transitive Substitut., 4 S. (7, 21). — Num- 

 ber of Substituts, omitting at least one letter 

 in a transitive gr., 2 S. (8, 22). 



Miller, John Anthony, Ph. D. 1899 

 Chicago; stud. 1890 — 93 Bloomington & 

 Stanford; 1894—1906 Prof., Math., Mech. 

 & Astron., Univ., Bloomington, 06 Prof., 

 Astron., & Dir. Sproul Observ., Swarth- 

 more Coli., Bloomington, Pa.; * 1859, 

 Dez. 16, Greensburg, Ind. 



Amer. Joum. of Math.: Concerning certain 

 elliptic modular functs. of square rank, 22 S. 

 (27, 1905). 



Astron. Nachr.: Measures of double stars (m. 

 W. A. Cogshall), 6 S. (168, 1905). 



Chicago, Astrophys. Journ.: Determinat. of 

 the heliocentric posit. pf a cert. class of coronal 

 streamers, 10 S. (27, 1908). — The posit. of 

 cert. coronal streams on the assumpt. that the 

 Corona is a mechanical product, 27 S. (33, 11). 



Philadelphia, Phll. Soc Proc: The Sproul 

 Observ. eclipse expedit., june 8, 1918. Coronal 

 arches & streamers, 10 S. (58, 1919). — The 

 parallaxes of 50 stars (2. list) determined at 

 Sproul Observ. (m. J. H. Pitman & H. B. 

 Steele), 65 S. (59, 1920). 



IV Miller, W. Lash, Dr. phil. 1890 

 München; seit 1900 Prof., Chemie, Univ., 

 Toronto, Canada; * 1866, Sept. 10. 

 Galt, Canada. 



Canada, Roy. Soc. Proc. a. Trans.: Numerical 

 values of cert. functs. involving e-* (m. T. R_ 



55 



