Complex group algebras of finite groups: Brauer's problem 1.
Some problems in number theory that arise from group theory.
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
Notes on the average number of Sylow subgroups of finite groups
We show that if the average number of (nonnormal) Sylow subgroups of a finite group is less than then is solvable or . This generalizes an earlier result by the third author.
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