Search results for "REM"

showing 10 items of 11264 documents

Abelian Sylow subgroups in a finite group, II

2015

Abstract Let p ≠ 3 , 5 be a prime. We prove that Sylow p-subgroups of a finite group G are abelian if and only if the class sizes of the p-elements of G are all coprime to p. This gives a solution to a problem posed by R. Brauer in 1956 (for p ≠ 3 , 5 ).

p-groupCombinatoricsMathematics::Group TheoryNormal p-complementAlgebra and Number TheoryLocally finite groupSylow theoremsCyclic groupElementary abelian groupOmega and agemo subgroupAbelian groupMathematicsJournal of Algebra
researchProduct

ON SYLOW NORMALIZERS OF FINITE GROUPS

2013

[EN] The paper considers the influence of Sylow normalizers, i.e. normalizers of Sylow subgroups, on the structure of finite groups. In the universe of finite soluble groups it is known that classes of groups with nilpotent Hall subgroups for given sets of primes are exactly the subgroup- closed saturated formations satisfying the following property: a group belongs to the class if and only if its Sylow normalizers do so. The paper analyzes the extension of this research to the universe of all finite groups.

p-groupComplement (group theory)Finite groupAlgebra and Number TheorySaturated formationApplied MathematicsSylow theoremsNilpotent Hall subgroupAlgebraMathematics::Group TheorySylow normalizerIUMPALocally finite groupFinite groupAlgebra over a fieldScientific publishingMATEMATICA APLICADAMathematicsJournal of Algebra and Its Applications
researchProduct

On second minimal subgroups of Sylow subgroups of finite groups

2011

A subgroup H of a finite group G is a partial CAP-subgroup of G if there is a chief series of G such that H either covers or avoids its chief factors. Partial cover and avoidance property has turned out to be very useful to clear up the group structure. In this paper, finite groups in which the second minimal subgroups of their Sylow p-subgroups, p a fixed prime, are partial CAP-subgroups are completely classified.

p-groupComplement (group theory)Finite groupAlgebra and Number TheorySupersoluble groupSylow theoremsCombinatoricsNormal p-complementMathematics::Group TheorySecond minimal subgroupLocally finite groupSimple groupOmega and agemo subgroupFinite groupMATEMATICA APLICADAMathematicsPartial CAP-subgroupPartial cap-group
researchProduct

The average number of Sylow subgroups of a finite group

2013

We prove that if the average Sylow number (ignoring the Sylow numbers that are one) of a finite group G is ⩽7, then G is solvable.

p-groupDiscrete mathematicsFinite groupComplement (group theory)General MathematicsSylow theoremsMathematics::Algebraic TopologyHall subgroupCombinatoricsMathematics::Group TheoryNormal p-complementLocally finite groupComponent (group theory)MathematicsMathematische Nachrichten
researchProduct

A Gaschütz–Lubeseder Type Theorem in a Class of Locally Finite Groups

1999

The aim of this paper is to present a Gaschutz–Lubeseder type theorem in the class cL of all radical locally finite groups satisfying min−p for all primes p. Notice that these groups are countable and co-Hopfian by [1, (5.4.8)]. In retrospect, the theory of saturated formations of finite soluble groups began with the results of Gaschutz [3] in 1963. He introduced the concept of “covering subgroup” as a generalization of Sylow and Hall subgroups. These covering subgroups have many of the properties of Sylow and Hall subgroups other than the arithmetic ones. The main idea of Gaschutz’s work was concerned with group theoretical classes having the same properties. He defined a formation F to be…

p-groupDiscrete mathematicsPure mathematicsProfinite groupAlgebra and Number TheoryGroup of Lie typeLocally finite groupSymmetric groupSimple groupSylow theoremsClassification of finite simple groupsMathematicsJournal of Algebra
researchProduct

A note on Sylow permutable subgroups of infinite groups

2014

Abstract A subgroup A of a periodic group G is said to be Sylow permutable, or S-permutable, subgroup of G if A P = P A for all Sylow subgroups P of G. The aim of this paper is to establish the local nilpotency of the section A G / Core G ( A ) for an S-permutable subgroup A of a locally finite group G.

p-groupNormal subgroupCombinatoricsMathematics::Group TheoryNormal p-complementComplement (group theory)Mathematics::CombinatoricsAlgebra and Number TheorySubgroupLocally finite groupSylow theoremsIndex of a subgroupMathematicsJournal of Algebra
researchProduct

On some classes of supersoluble groups

2007

[EN] Finite groups G for which for every subgroup H and for all primes q dividing the index |G:H| there exists a subgroup K of G such that H is contained in K and |K:H|=q are called Y-groups. Groups in which subnormal subgroups permute with all Sylow subgroups are called PST-groups. In this paper a local version of the Y-property leading to a local characterisation of Y-groups, from which the classical characterisation emerges, is introduced. The relationship between PST-groups and Y-groups is also analysed.

p-groupNormal subgroupDiscrete mathematicsComplement (group theory)Lagrange theoremAlgebra and Number TheorySylow theoremsGrups Teoria deSylow subgroupFitting subgroupCombinatoricsSubgroupLocally finite groupPermutabilityÀlgebraIndex of a subgroupFinite groupMATEMATICA APLICADAMathematicsJournal of Algebra
researchProduct

Arteriālās hipertensijas pacientu apmācība ambulatorajā praksē

2022

Bakalaura darba tēma: Arteriālās hipertensijas pacientu apmācība ambulatorajā praksē. Tēmas aktualitāti pamato hipertensija kā viens no galvenajiem nāves cēloņiem. Darba mērķis: izzināt arteriālās hipertensijas pacientu apmācības norisi ambulatorajā praksē. Pētniecības uzdevumi: literatūras analīze par arteriālo hipertensiju un pacientu apmācīšanas nozīmīgumu D. Oremas teorijā. Izstrādāt un veikt interviju, apstrādāt un analizējot rezultātus izdarīt secinājumus. Pētniecības jautājums: kā noris arteriālās hipertensijas pacientu apmācība ambulatorajā praksē? Pētniecības metode: kvalitatīvā. Pētniecības instruments: intervija. Pētījuma rezultāti: Ambulatorajās praksēs notiek arteriālās hiperte…

pacientsD. OremahipertensijaapmācībaMedicīna
researchProduct

Pacientu aprūpes prioritātes gremošanas sistēmas hronisku saslimšanu gadījumā

2015

Bakalaura darba “Pacientu aprūpes prioritātes gremošanas sistēmas hronisku saslimšanu gadījumā” mērķis – noskaidrot, aprūpes prioritātes pacientiem ar hroniskām gremošanas sistēmas saslimšanām. Pētījuma izvirzītā hipotēze – aprūpes prioritātes pacientiem ar hroniskām gremošanas sistēmas saslimšanām balstās uz fizioloģisko pamatvajadzību apmierināšanu. Darbā tika aprakstīta Virdžinijas Hendersones 14 pamatvajadzību teorija. Tika analizēta un apkopota literatūra. Tika veikts pētījums. Teorētiskajā daļā apkopota informācija par hroniskām gremošanas sistēmas saslimšanām, pacientu aprūpi un pamatvajadzībām. Praktiskajā daļā tika apkopoti un analizēti dati par pacientu aprūpes prioritātēm gremoša…

pacientshroniskas gremošanas sistēmas saslimšanasaprūpes prioritātesMedicīnapamatvajadzības
researchProduct

Gremošanas sistēmas akūtās blaknes onkoloģiskiem pacientiem, saņemot neoadjuvanto mērķterapiju

2020

Bakalaura darba tēma ir “Gremošanas sistēmas akūtas blaknes onkoloģiskiem pacientiem, saņemot neoadjuvantu terapiju”. Bakalaura darba mērķis ir novērtēt akūtas gremošanas sistēmas blaknes onkoloģiskiem pacientiem saņemot tikai staru terapiju vai kombinētu neoadjuvantu mēķterapiju ar taisnās zarnas un tūpļa kanāla audzējiem, balstoties uz RTOG skalas. Bakalaura darbs sastāv no teorijas daļas un pētījuma daļas. Darba apjoms ir 43 lpp. Bakalaura darbā izvirzīta hipotēze ir agrīnas staru terapijas blaknes attīstīsies agrāk un būs smagākas pacientiem, kuri vienlaicīgi saņem staru terapiju un ķīmijterapiju. Pētījuma daļā tika pielietota kvalitatīvi prospektīva pētījuma metode, ar kuras palīdzību …

pacientsonkoloģijablaknesneoadjuvanta terapijagremošanas sistēmaMedicīna
researchProduct