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- W2778059093 abstract "Let $G$ be a finite non-solvable group. We study homology of the complex $mathcal{N}(G)$ of all non-trivial nilpotent subgroups of $G$. The determination of $H_{n}(mathcal{N}(G))$ is reduced to that of homology of its subcomplex $mathcal{N}_{pi_{1}}(G)$ consisting of all nilpotent $pi_{1}$-subgroups, where $pi_{1}$ is the connected component of the prime graph of $G$ containing 2. Furthermore, $mathcal{N}_{pi_{1}}(G)$ is connected if $G$ possesses no strongly embedded subgroups." @default.
- W2778059093 created "2018-01-05" @default.
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- W2778059093 date "2019-06-01" @default.
- W2778059093 modified "2023-09-26" @default.
- W2778059093 title "Homology of the Complex of All Non-trivial Nilpotent Subgroups of a Finite Non-solvable Group" @default.
- W2778059093 doi "https://doi.org/10.3836/tjm/1502179264" @default.
- W2778059093 hasPublicationYear "2019" @default.
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