We prove that every algebraic lattice is isomorphic to a complete sublattice in the subgroup lattice of a suitable locally finite 2-group. In particular, every lattice is embeddable in the subgroup lattice of a locally finite 2-group.

中文翻译：

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局部有限2-群的格普遍性

我们证明了，每个代数晶格在适当的局部有限2群的子群晶格中对于一个完整的子晶格都是同构的。特别是，每个晶格都可嵌入局部有限2群的子群晶格中。