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Some problems in number theory that arise from group theory.

Alexander Moretó — 2007

Publicacions Matemàtiques

In this expository paper, we present several open problerns in number theory that have arisen while doing research in group theory. These problems are on arithmetical functions or partitions. Solving some of these problems would allow to solve some open problem in group theory. [Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].

Complex group algebras of finite groups: Brauer's problem 1.

Moretó, Alexander — 2005

Electronic Research Announcements of the American Mathematical Society [electronic only]

Notes on the average number of Sylow subgroups of finite groups

Jiakuan Lu; Wei Meng; Alexander Moretó; Kaisun Wu — 2021

Czechoslovak Mathematical Journal

We show that if the average number of (nonnormal) Sylow subgroups of a finite group is less than $\frac{29}{4}$ then $G$ is solvable or $G / F (G) ≅ A_{5}$ . This generalizes an earlier result by the third author.

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Currently displaying 1 – 3 of 3

Some problems in number theory that arise from group theory.

Complex group algebras of finite groups: Brauer's problem 1.

Notes on the average number of Sylow subgroups of finite groups