Let G be a p-solvable group, P≤G p-subgroup and χ∈Irr(G) such that χ(1)p≥|G:P|p. We prove the restriction χP is sum of characters induced from subgroups Q≤P χ(1)p=|G:Q|p. This generalizes previous results by Giannelli–Navarro Giannelli–Sambale on number linear constituents χP. Although this statement does not hold for arbitrary groups, we conjecture weaker version which can seen as an extension...

Abstract In this paper we deal with the class $$\mathcal {C}$$ C of decomposable solvable Lie groups having dimension six. We determine those in and their subgroups which are multiplication Mult ( L ) inner mapping Inn for three-dimensional connected simply topological loops . This result completes classifica...