arXiv subjects

R. Dark

Publications and source records attributed to R. Dark.

2 recordsLinked to original sources

arXiv2020

Extension of Carter subgroups in $π$-separable groups

Let $π$ be a set of primes. We show that $π$-separable groups have a conjugacy class of subgroups which specialize to Carter subgroups, i.e. self-normalizing nilpotent subgroups, or equivalently, nilpotent projectors, when specializing to soluble groups.

math.GR↗

arXiv2020

Injectors in $π$-separable groups

Let $π$ be a set of primes. We show that $π$-separable groups have a conjugacy class of $\mathfrak F$-injectors for suitable Fitting classes $\mathfrak F$, which coincide with the usual ones when specializing to soluble groups.

math.GR↗