Π′-closure of finite Π-solvable groups

Stratification and Π-cosupport: Finite Groups

We introduce the notion of π-cosupport as a new tool for the stable module category of a finite group scheme. In the case of a finite group, we use this to give a new proof of the classification of tensor ideal localising subcategories. In a sequel to this paper, we carry out the corresponding classification for finite group schemes.

On generalized Π-property of subgroups of finite groups

In this note, we extend the concept of Π-property of subgroups of finite groups and generalize some recent results. In particular, we generalize the main results of Li et al. [p-Hypercyclically embedding and Π-property of subgroups of finite groups, Comm. Algebra 45(8)(2017), 3468–3474] and Miao et al. [On the supersoluble hypercentre of a finite group, Monatsh. Math. (2016)]. Mathematics Subje...

Π∗-kernels of Lie Groups

We study the group of homotopy classes of self maps of compact Lie groups which induce the trivial homomorphism on homotopy groups. We completely determine the groups for SU(3) and Sp(2). We investigate these groups for simple Lie groups in the cases when Lie groups are p-regular or quasi p-regular. We apply our results to the groups of self homotopy equivalences. Introduction Let [X,Y ] be the...

0 Observation of the φ → π + π − π + π − Decay

Using 11.6 pb of data collected in the energy range 0.984–1.06 GeV by CMD-2 at VEPP-2M, the cross section of the reaction e+e− → π+π−π+π− has been studied. For the first time an interference pattern was observed in the energy dependence of the cross section near the φ meson. The branching ratio of the φ → π+π−π+π− decay double suppressed by the G-parity and OZI rule is measured Br(φ → ππππ) = (...

0 → π + π − π 0 feasibility studies