This article is cited in 4 scientific papers (total in 4 papers)
On the problem of classification of finite groups associated to multiplicative $\eta$-products
G. V. Voskresenskaya
Samara State University
In this article, we study finite groups such that the cusp forms associated to all elements of these groups by means of some faithful representation are modular forms with multiplicative Fourier coefficients from a special class. The Sylow subgroups of such groups of odd order are found. We consider such metacyclic groups. The groups of order 16 and the groups of order 32 that are metacyclic or are direct products of a group of order 16 and the cyclic group of order 2 are considered in detail.
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Journal of Mathematical Sciences (New York), 2007, 140:2, 206–220
G. V. Voskresenskaya, “On the problem of classification of finite groups associated to multiplicative $\eta$-products”, Fundam. Prikl. Mat., 10:4 (2004), 43–64; J. Math. Sci., 140:2 (2007), 206–220
Citation in format AMSBIB
\paper On the problem of classification of finite groups associated to multiplicative $\eta$-products
\jour Fundam. Prikl. Mat.
\jour J. Math. Sci.
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G. V. Voskresenskaya, “Semeistva modulyarnykh form, opredelyayuschie gruppu”, Vestn. SamGU. Estestvennonauchn. ser., 2009, no. 6(72), 21–34
G. V. Voskresenskaya, “Finite Groups and Families of Modular Forms Associated with Them”, Math. Notes, 87:4 (2010), 497–509
G. V. Voskresenskaya, “Finite simple groups and multiplicative $\eta$-products”, J. Math. Sci. (N. Y.), 171:3 (2010), 344–356
G. V. Voskresenskaya, “Arithmetic properties of Shimura sums related to several modular forms”, J. Math. Sci., 182:4 (2012), 444–455
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