@article{Li_Xu_2014, title={Second Maximal Subgroups of a Sylow <em class="a-plus-plus">p</em>-Subgroup and the <em class="a-plus-plus">p</em>-Nilpotency of Finite Groups}, volume={66}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2170}, abstractNote={A subgroup <em class="a-plus-plus">H</em> of a group <em class="a-plus-plus">G</em> is said to be weakly <em class="a-plus-plus">s</em>-semipermutable in <em class="a-plus-plus">G</em> if <em class="a-plus-plus">G</em> has a subnormal subgroup <em class="a-plus-plus">T</em> such that <em class="a-plus-plus">HT</em> = <em class="a-plus-plus">G</em> and <em class="a-plus-plus">H</em> ∩ <em class="a-plus-plus">T ≤</em> <span class="a-plus-plus inline-equation id-i-eq1"> <span class="a-plus-plus equation-source format-t-e-x">\( {H}_{\overline{s}G} \)</span> </span>, where <span class="a-plus-plus inline-equation id-i-eq2"> <span class="a-plus-plus equation-source format-t-e-x">\( {H}_{\overline{s}G} \)</span> </span> is the subgroup of <em class="a-plus-plus">H</em> generated by all subgroups of <em class="a-plus-plus">H</em> that are <em class="a-plus-plus">s</em>-semipermutable in <em class="a-plus-plus">G</em>. The main aim of the paper is to study the <em class="a-plus-plus">p</em>-nilpotency of a group for which every second maximal subgroup of its Sylow <em class="a-plus-plus">p</em>-subgroups is weakly <em class="a-plus-plus">s</em&gt;-semipermutable. Some new results are obtained.}, number={5}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Li, X. H. and Xu, Y.}, year={2014}, month={May}, pages={694–698} }