[PDF] Top 20 Finite groups with semi-subnormal Schmidt subgroups
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Finite groups with semi-subnormal Schmidt subgroups
... a semi-subnormal subgroup of ...with semi-subnormal Schmidt {2, 3}-subgroups is ...5-closed Schmidt {2, 5}- subgroups are semi-subnormal in G, then G ... See full document
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On well \(p\)-embedded subgroups of finite groups
... Corollary 7.7.2], D ≤ F(G). But G has not the abelian minimal normal subgroups and therefore D = F(G) = 1. According to the condition, a subgroup P is well p-embedded in G, so G has such permutable subgroup T that ... See full document
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On soluble groups whose subnormal subgroups are inert
... whose subgroups are inert is called inertial in [11] where, in the context of gen- eralized soluble groups (with some finiteness conditions), a characterization of inertial groups was ...Inertial ... See full document
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Subnormal Structure of Finite Soluble Groups
... A- groups, nilpotent groups, metabelian groups, abelian-by-nilpotent groups and, more generally, groups of p-length 1 for all p; in particular any such group G satisfies wl(G) 6 2 · wl ... See full document
115
Some related to pronormality subgroup families and the properties of a group
... Such finite groups were studied in [22]. Infinite groups of this kind and some their generalizations were described in [75] and ...the groups whose subgroups are either abnormal or ... See full document
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Automorphisms fixing subnormal subgroups of certain infinite soluble groups
... ABELIAN-BY-NILPOTENT GROUPS Recall from Chapter 5 our main result Theorem E, that if G is a finitely generated infinite metabelian group, then the group Autsn G is a finite Abelian group[r] ... See full document
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A note on \(c\)-normal subgroups of finite groups
... some prime q and some a, b ∈ N. Assume that G is not p-closed. Then a Sylow q-subgroup Q of G is non-cyclic. Hence by hypothesis, Q has a subgroup D such that 1 < |D| < |Q|, every subroup H satisfying |H| = |D| is ... See full document
11
Groups with all subgroups permutable or soluble
... classify groups all of whose proper subgroups have some given ...the finite groups with all subgroups ...concerning groups with all subgroups subnormal is long and ... See full document
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On subgroups of finite exponent in groups
... investigated groups with all proper subgroups of finite exponent and, in particular, have proved that a non- perfect group of infinite exponent with proper subgroups of finite exponent ... See full document
7
\(\mathbf{S}\)-Embedded subgroups in finite groups
... the subgroups (resp. Sylow subgroups) of ...are subgroups of G such that A is S-permutable in B and B is S-permutable in G, then A is S-permutable in ...every subnormal subgroup is ... See full document
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Finite groups with some $SS$-embedded subgroups
... All groups considered in this paper are finite and G denotes a group, H E E G means that H is a subnormal subgroup of ...a finite group is a common method in the study of group ... See full document
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Contributions to the theory of subnormal subgroups and factorized groups
... a finite group G can be written as a product of two subgroups H and K where H is nilpotent of class c,K is nilpotent o f class d and the orders o f H and K are coprime then G is soluble with derived length ... See full document
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Locally finite p-groups with all subgroups either subnormal or nilpotent-by-Chernikov
... We return now to our general hypothesis: let G be a locally finite Baer group in the class X, and suppose for a contradiction that G / ∈ NC. Our first aim is to reduce to the case where G is a metabelian p-group. ... See full document
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On finite groups with Hall normally embedded Schmidt subgroups
... Since S is arbitrary, we conclude that all 2-nilpotent Schmidt subgroups of even order are contained in R(G). By Lemma 5, the quotient group G/R(G) has no 2-nilpotent Schmidt subgroups of even ... See full document
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On supersolvability of finite groups with $\Bbb P$-subnormal subgroups
... Lemma 2.2. Let F be a saturated formation and let G be a solvable group. Assume that G does not belong to F, but G/K ∈ F for all nontrivial normal subgroups K of G. Then G is a primitive group. Proof. First assume ... See full document
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On locally finite groups whose cyclic subgroups are \(\mathrm{GNA}\)-subgroups
... of groups whose subgroups are either P -subgroups or AP -subgroups (for example, normal or abnormal ...pronormal subgroups, we naturally obtain the following ... See full document
12
Intersections of prefrattini subgroups in finite soluble groups
... Zenkov, Intersections of nilpotent subgroups in finite groups, (in Russian) Fundam. Dolfi, Intersections of odd order Hall subgroups, Bull[r] ... See full document
5
Normalizers and covering subgroups of finite soluble groups
... fall away if we assume that our normal systems are integrated The·first part of chapter five is concerned with the existence and main properties of the JE-covering subgroups of the finit[r] ... See full document
122
Non-nilpotent groups with three conjugacy classes of non-normal subgroups
... the groups (vii), (viii) and (ix), P has three maximal subgroups and two of them can not be ...maximal subgroups of P which are non-normal in ... See full document
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On \(S\)-quasinormally embedded subgroups of finite groups
... Sylow subgroups in G 2) S-quasinormally embedded in G if every Sylow subgroup of A is a Sylow subgroup of some S -quasinormal subgroup of ...the subgroups of B ... See full document
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