On a Class of Frobenius Groups with Cyclic Complements |
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Aarre abelian group Alperin centre of G CLASS OF FROBENIUS commutator subgroup conjugates of H contradiction CYCLIC COMPLEMENTS denote Deutsche Zusammen Deutsche Zusammenfassung divides O(H Eino elementary abelian English Summary Esko finite group following lemma following theorem Frattini subgroup Frobenius group G are normal G is abelian G is nilpotent G is solvable G/Z G group with complement groups in G GROUPS WITH CYCLIC Hall subgroup Heino Hn G Jaakko G Juhlakirja Kirjallisuuden laitoksen julkaisuja Lääketieteellisen tiedekunnan julkaisuja Let G Markku Niemenmaa Matti maximal normal subgroups maximal subgroup need the following nonabelian nonnilpotent CN normal in G normal Sylow subgroup Pennanen Pertti prime power order proof is complete proper subgroups Seppänen Seppo SERIES B Vol special CN group Study subgroup H subgroup of G subgroup of order Sylow q symmetric group TAMPEREEN YLIOPISTON täyttäessä 60 vuotta theorem 1.3 Tutkimus University of Tampere