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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011 Number 5, Pages 3–6 (Mi vmumm711)

Mathematics

Intersection of functorial subgroups in finite groups

R. V. Borodicha, O. A. Shpyrkob

a Gomel State University named after Francisk Skorina
b Sevastopol Branch of the M.V. Lomonosov Moscow State University

Abstract: Intersections of given maximal subgroups of finite groups are studied. General properties of the generalised Frattini subgroup are established with the help of the functor method.

Key words: finite group, maximal subgroup, Frattini subgroup, functor.

UDC: 512.542

Received: 04.09.2009



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