Finite $\mathcal{Q}$-groups have been recently studied and form a class of solvable groups, which satisfy interesting structural conditions. We survey some of their main properties and introduce the idea of $\mathcal{Q}$-group for compact $p$-groups ($p$ prime). A list of open questions is presented, along with several connections of arithmetic nature on a problem originally due to Frobenius.
A short survey and open questions on compact $\mathcal{Q}$-groups
Russo F
Primo
2019-01-01
Abstract
Finite $\mathcal{Q}$-groups have been recently studied and form a class of solvable groups, which satisfy interesting structural conditions. We survey some of their main properties and introduce the idea of $\mathcal{Q}$-group for compact $p$-groups ($p$ prime). A list of open questions is presented, along with several connections of arithmetic nature on a problem originally due to Frobenius.File in questo prodotto:
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