Groups Whose Prime Powers Generate a Cyclic Subgroup
نویسندگان
چکیده
منابع مشابه
Fite : Groups Whose Orders Are Powers of a Prime
In this article two somewhat distinct methods are used to study the properties of groups whose orders are powers of a prime. What may, for the purpose of distinction, be called the usual method is applied in the first part to establish certain properties of the commutators of a group. The commutators are differentiated among themselves by the introduction of the notion of successive commutators...
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Let V be a representation of a finite group G over a field of characteristic p. If p does not divide the group order, then Molien’s formula gives the Hilbert series of the invariant ring. In this paper we find a replacement of Molien’s formula which works in the case that |G| is divisible by p but not by p. We also obtain formulas which give generating functions encoding the decompositions of a...
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1 The first four notes of this series appeared in these PROCEEDINGS, 14, 915-918 (1928); 15, 41-42 (1929); 16, 594-598 (1930); 17, 376-380 (1931). In these notes we were concerned exclusively with the methods of Hausdorff and Woronoi-Norlund. The results of the present note were communicated to the American Mathematical Society on April 14, 1933. Cf. also E. Hille, "Summation of Fourier Series,...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1936
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.22.12.703