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Multiplicative Dedekind $η$ -function and representations of finite groups

Galina Valentinovna Voskresenskaya (2005)

Journal de Théorie des Nombres de Bordeaux

In this article we study the problem of finding such finite groups that the modular forms associated with all elements of these groups by means of a certain faithful representation belong to a special class of modular forms (so-called multiplicative $η -$ products). This problem is open.We find metacyclic groups with such property and describe the Sylow $p$ -subgroups, $p \neq 2,$ for such groups. We also give a review of the results about the connection between multiplicative $η$ -products and elements of finite orders...

Displaying 21 – 25 of 25

Multiplicative Dedekind $η$ -function and representations of finite groups

Multiplicity-Free Permuation Representations of Finite Linear Groups.

Mutations in finite groups.

Mutually permutable products of two nilpotent groups

Mycielski-Sierpiński conjecture and Korec-Znám result

Currently displaying 21 – 25 of 25

Displaying 21 – 25 of 25

Multiplicative Dedekind η -function and representations of finite groups

Multiplicity-Free Permuation Representations of Finite Linear Groups.

Mutations in finite groups.

Mutually permutable products of two nilpotent groups

Mycielski-Sierpiński conjecture and Korec-Znám result

Currently displaying 21 – 25 of 25

Multiplicative Dedekind $η$ -function and representations of finite groups