856 



Miller — Miller. 



of an Abelian gr. & some its Abelian subgr., 

 6 S. (36, 14). — Possible characteristic Opera- 

 tors of a gr., 3 S. (39, 17). — Gr. generated by 

 2 Operators whose relative transforms are 

 equal to each other, 4 S. (41, 19). — Gr. of 

 Order 2"*' which contain a relatively large 

 number of Operators of order 2, 10 S. — Cha- 

 ract. subgr. of an Abelian prime power gr., 



9 S. (42, 20). — Substitut, gr. whose cycles 

 of the same order contain a given number of 

 letters, 7 S. (44, 22). 



Amer. Math. Monthly: Applicat. of several 

 theorems in number theory to gr. theory, 

 4 S. (12, 1905). — Definits. of the discriminant 

 of a rational integral funct. in one variable, 

 4 S. — Math, in encyclopedic dictionary, 5 S. 

 (25, 18). 



Amer. Math. Soc. Bull.: Addit. to a theorem 

 due to Frobenius, 2 S. — Extens. of a theorem 

 due to Sylow, 3 S. — The groups of order 2'" 

 which contain an invar. cyclic subgroup of 

 order 2"»-2, 5 S. (11, 1905). — The possible num- 

 bers of Operators of order 2 in a gr. of order 2'", 

 4 S. — The gr. containing 14 Operators of 

 order 2, 13 S. — Gr. in which all the Operators 

 are contained in a series of subgr. such that 

 any 2 have only identity in common, 3 S. 

 (12, 06). — Gr. of order p"» contain. exactly 

 p-1, Abelian subgr. of order p»>-i, 7 S. — The 

 minimum number of Operators whose Orders 

 exceed 2 in any finite gr., 5 S. — The gr. gene- 

 rated by 3 Operators each of which is the pro- 

 duct of the other 2, 2 S. — Commutator of 2 

 Operators, 5 S. (13, 07). — The invar. Substi- 

 tuts, under a substit. gr., 3 S. — Recent pro- 

 gress in the theory of gr. of finite order, 14 & 



10 S. (14, 08). — Answer to a quest. raised by 

 Cayley as regards a property of abstract gr., 

 4 S. — The gr. generated by 2 Operators satis- 



2 2 



fying the condit. 'i '^ = 'j 'i, 3 S. (15, 09). 



— The gr. which may be generated by 2 Opera- 

 tors "i, -'j satisf ying the equat. (-'i '2)0 = {\ ''i)ß, 

 a &> ß being relatively prime, 3 S. — The gr. 

 generated by 2 Operators whose Squares are 

 ivar., 2 S. — D* each of which is trans- 

 formed into a power of itself by the 

 Square of the other, 8 S. — Extens. of 2 theorems 

 due to Cauchy, 4 S. (16, 10). — Gr. generated 

 by 2 Operators satisfying 2 condits., 8 S. (17, 

 11). — The maximal cyclic subgr. of a gr. of 

 order pm, 3 S. (18, 12). — A few theorems rela- 

 ting to Sylow subgr., 4 S. (19, 13). — Some 

 properties of the gr. of isomorphisms of an Abe- 

 lian gr., 4 S. (20, 14). — The potential & the 

 antipotential gr. of a given gr., 6 S. (21, 14/15). 



— Limits of the degree of transitivity of sub- 

 stitit. gr., 4 S. (22, 15/16). — Graphical meth. 

 of finding the possible sets of independent 

 generators of an Abelian gr., 4 S. — Gr. gene- 

 rated by two Operators of the same prime order 

 such that the conjugates of one under the 

 powers of the other are commutative, 4 S. 

 (23, 16/17). — Gr. formed by special matriccs 

 4 S. (24, 17/18). — Determinant gr., 7 S. — 

 Gr. containing a relatively large number of 

 Operators of order 2, 6 S. (25, 18/19). — Form 

 of the number of subgr. of prime j)ower gr., 

 7 S. — Gr. generated by 2 Operators of order 3 

 whose product is of order 4, 9 S. (26, 19/20). — 

 Reciprocal subgr. of an Abelian gr., 7 S. — Gr. 

 theory reviews, 4 S. (27, 20/21). — The simple 

 gr. order 2520, 5 S. — Substituts, commuta- 

 tive with every subst itut. of an intransitive gr., 

 3 S. (28, 22). 



Amer. Math. Soc. Trans.: The holomorph of 

 a cyclic gr, 8 S. — Non-Abelian gr. in which 



every subgr. is Abelian (m. H. C. Moreno), 

 6 S. (4, 1903). — Determinat. of all the groups 

 of order 2" which contain an odd number of 

 cyclic subgr. of composite order, 5 S. — The 

 invar. subgr. of prime index, 6 S. (6, 05). — 

 Gr. containing only 3 Operators which are 

 Squares, 5 S. — The gr. of order p™ which con- 

 tains exactly p cyclic subgr. of order p*, 5 S. 

 (7, 06). — Generalizat. of the gr. of genus zero, 

 13 & 1 S. (8 & 10, 07 & 09). — The gr. in which 

 every subgr. is either Abelian or Hamiltonian, 

 5 S. (8, 07). — Gr. defined by the Orders of 2 

 generators & the order of their commutator, 

 12 S. — The holomorph of the cyclic gr.of 

 order p™, 5 S. (9, 08). — The central of a gr., 

 11 S. — Automorphisms of order 2, 8 S. (10, 

 09). — Gr. generated by 2 Operators ('j, '•'j) 



2 2 



satisfyimg the equat. "i "2 = «j "i» 10 S. (11, 

 10). — Use of the co-sets of a gr., 9 S. — Isomor- 

 phisms of a gr. whose order is a power of a 

 prime, 16 S. (12, 11). ^ — Infinite systs. of in- 

 divisible gr., 15 S. (13, 12). — The $-subgr. 

 of a gr., 7 S. — Independent generators of a 

 gr. of finite order, 6 S. (16, 15). — Finite gr. 

 represented by special matrices, 7 S. (17, 16). — 

 Sets of independent generators of a Substitut, 

 gr., 6 S. (19, 18). — Gr. possessing a small 

 number of sets of conjugate Operators, 11 S. 

 (20, 19). — Properties of the subgr. of an 

 Abelian prime power gr. which are conjugate 

 under its gr. of isomorphisms, 8 S. (21, 20). — 

 1- conjugate operats. of an Abelian gr., 9 S. 

 (24, 22). 



Ann. o! Math. Harvard Coli.: Note on 

 Sylow's theorem, 1 S. (5, 1903/04). — The 

 subgr. of an Abelian gr., 6 S. — Gr. of the 

 fundamental operats. of arithm., 8 S. (6, 04/05), 



— Possible number of Operators of order 2 in 

 a gr. of order 2", 6 S. (7, 05/06). — Use of gr. 

 theory in elementary trigonom., 6 S. (8, 06/07). 



— The gr. generated by 2 Operators such that 

 each is transformed into its inverse by the 

 Square of the other, 5 S. (9, 07/08). —A3, 

 heneralizat. of the gr. of the regulär poly- 

 Gedrons, 10 S. (13, 11/12). — Gr. which contain 

 an Abelian subgr. of prime index, 6 S. (14, 

 12/13). — Examples of normal domains of 

 rationality belonging to elementary gr., 7 S. 

 (15, 13). — A new proof of Sylow's theorem, 

 3 S. (16, 14/15). — Substitut, gr. & possible 

 arrangements of the players at card touma- 

 ments, 5 S. (19, 17/18). — Relats. betw. ab- 

 stract. gr. properties & Substitut, gr., 3 S. (20, 

 18/19). — On the term maximal subgr., 2 S. 

 (23, 22). 



Archiv d. Math. & Physik: The gr. generated 

 by 2 Operators which have a common Square, 

 2 S. (9, 1905). — The gr. in which every subgr. 

 of composite order is invariant, 4 S. (11, 07). — 

 The gr. of isomorphisms of the simple gr. 

 whose degree is less than 15, 3 S. (12, 07). — 

 Gr. formed by prime residues with respect to 

 modular systs., 7 S. (15, 09). — Gr. involving 

 only a small number of sets of conjugate Opera- 

 tors, 6 S. (17, 11). — Some properties of the 

 gr. of isomorphisms, 7 S. (19, 12). — The 

 multiply transitive solvable Substitut, gr., 

 2 S. (23, 14/15). 



BIbl. math.: Historical sketch of the deve- 

 lopm. of the theory of gr. of finite order, 13 S. 

 (10, 1909). — On William R. Hamilton's place 

 in the history of abstract gr. theory, 2 S. (11, 

 10/11). — Introduct. of the word gr. as a tech- 

 nical math. term, 3 S. (13, 12). 



Bull. d. Sc. math. Darboux: Un point d'his- 

 toire d. groupes finis discontinus, 1 S. (43, 1919). 



