L-subgroups of certain finite groups

N.V. Kalashnіkova (Oles Honchar Dnipropetrovsk National University)


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.


lattice; group; intersection; L-subgroup; a-level set


Birkhoff G. Lattice theory: Tran. from Eng., GRFML, Nauka, Moscow, 1984; 568 p. (in Russian)

Anthony J.M., Sherwood H. "A characterization of fuzzy subgroups", Fuzzy Sets and Systems, 1982; 7: pp. 297-305. doi:10.1016/0165-0114(82)90057-4

Anthony J.M., Sherwood H. "Fuzzy groups redefined", J. Math. Anal. Appl, 1979; 69: pp. 124-130. doi:10.1016/0022-247X(79)90182-3

DOI: https://doi.org/10.15421/241407



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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991