Experimental investigation of small-signal frequency characteristics of a bypass voltage converter

In this state we showed results of researches small-signal frequency characteristics of a bypass voltage converte

A Local Strategy to Decide the Alperin and Dade Conjectures

AbstractWe present a new strategy which exploits both the maximal andp-local subgroup structure of a given finite simple group in order to decide the Alperin and Dade conjectures for this group. We demonstrate the computational effectiveness of this approach by using it to verify these conjectures for the Conway simple group Co2

The inductive blockwise Alperin weight condition for the Chevalley groups F4(q)F_4(q)

We verify the inductive blockwise Alperin weight condition in odd characteristic $\ell$ for the finite exceptional Chevalley groups $F_4(q)$ for $q$ not divisible by $\ell$.Comment: 151 pages, extensive appendix with table

Elementary abelian subgroups: from algebraic groups to finite groups

We describe a new approach for classifying conjugacy classes of elementary abelian subgroups in simple algebraic groups over an algebraically closed field, and understanding the normaliser and centraliser structure of these. For toral subgroups, we give an effective classification algorithm. For non-toral elementary abelian subgroups, we focus on algebraic groups of exceptional type with a view to future applications, and in this case we provide tables explicitly describing the subgroups and their local structure. We then describe how to transfer results to the corresponding finite groups of Lie type using the Lang-Steinberg Theorem; this will be used in forthcoming work to complete the classification of elementary abelian p-subgroups for torsion primes p in finite groups of exceptional Lie type. Such classification results are important for determining the maximal p-local subgroups and p-radical subgroups, both of which play a crucial role in modular representation theory