E. Detomi

activity

20112015

collaborators

3 papers

math.GR2015

Maximal subgroups of finite soluble groups in general position

Eloisa Detomi, Andrea Lucchini

For a finite group $G$ we investigate the difference between the maximum size MaxDim $(G)$ of an "independent" family of maximal subgroups of $G$ and maximum size $m (G)$ of an irred…

math.GR2013

Bounding the Exponent of a Verbal Subgroup

Eloisa Detomi, Marta Morigi, Pavel Shumyatsky

We deal with the following conjecture. If w is a group word and G is a finite group in which any nilpotent subgroup generated by w-values has exponent dividing e, then the exponent…

math.GR2011

Characterization of finitely generated infinitely iterated wreath products

Eloisa Detomi, Andrea Lucchini

Given a sequence of $(G_{i})_{i \in N}$ of finite transitive groups of degree $n_{i}$ , let $W_{\infty}$ be the inverse limit of the iterated permutational wreath products of the first m…