%0 Journal Article %T Finite groups with $\Bbb P$-subnormal 2-maximal subgroups %A V. N. Kniahina %A V. S. Monakhov %J Mathematics %D 2011 %I arXiv %X A subgroup $H$ of a group $G$ is called $\Bbb P$-{\sl subnormal} in $G$ if either $H=G$ or there is a chain of subgroups $H=H_0\subset H_1\subset...\subset H_n=G$ such that $|H_i:H_{i-1}|$ is prime for $1\le i\le n$. In this paper we study the groups all of whose 2-maximal subgroups are $\Bbb P$-subnormal. %U http://arxiv.org/abs/1105.3663v1