L-subgroups of certain finite groups
Abstract
Some properties of L-subgroups of finite groups are considered. Sets of L-subgroups of cyclic groups of an order $$$p^n$$$, where p is a prime number, of an order pq, where p, q are prime numbers, of quasicyclic group of $$$p^{\infty}$$$ type, of uncyclic group of an order $$$p^2$$$, where p is a prime number, are described.
Keywords
lattice; group; intersection; L-subgroup; a-level set
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DOI: https://doi.org/10.15421/241407
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