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Relevant bibliographies by topics / Subgrupo de fitting

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Journal articles

Academic literature on the topic 'Subgrupo de fitting'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Subgrupo de fitting"

1

Arroyo-Jordá, M., and M. D. Pérez-Ramos. "Fitting classes and lattice formations I." Journal of the Australian Mathematical Society 76, no. 1 (2004): 93–108. http://dx.doi.org/10.1017/s1446788700008727.

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AbstractA lattice formation is a class of groups whose elements are the direct product of Hall subgroups corresponding to pairwise disjoint sets of primes. In this paper Fitting classes with stronger closure properties involving F-subnormal subgroups, for a lattice formation F of full characteristic, are studied. For a subgroup-closed saturated formation G, a characterisation of the G-projectors of finite soluble groups is also obtained. It is inspired by the characterisation of the Carter subgroups as the N-projectors, N being the class of nilpotent groups.

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2

Trofimuk, Alexander. "Solvable groups with restrictions on Sylow subgroups of the Fitting subgroup." Asian-European Journal of Mathematics 09, no. 02 (2016): 1650037. http://dx.doi.org/10.1142/s1793557116500376.

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In this paper, we study solvable groups in which [Formula: see text] is at most 2. In particular, we investigated groups of odd order and [Formula: see text]-free groups with this property. Exact estimations of the derived length and nilpotent length of such groups are obtained.

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3

Franciosi, Silvana, and Francesco de Giovanni. "On the Hirsch-Plotkin radical of a factorized group." Glasgow Mathematical Journal 34, no. 2 (1992): 193–99. http://dx.doi.org/10.1017/s0017089500008715.

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Let the group G = AB be the product of two subgroups A and B. A normal subgroup K of G is said to be factorized if K = (A ∩ K)(B ∩ K) and A ∩ B ≤ K, and this is well-known to be equivalent to the fact that K = AK ∩ BK (see [1]). Easy examples show that normal subgroups of a product of two groups need not, in general, be factorized. Therefore the determination of certain special factorized subgroups is of relevant interest in the investigation concerning the structure of a factorized group. In this direction E. Pennington [5] proved that the Fitting subgroup of a finite product of two nilpotent

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4

Asaad, M., M. Ramadan, and Ayesha Shaalan. "Influence of ?-quasinormality on maximal subgroups of Sylow subgroups of fitting subgroup of a finite group." Archiv der Mathematik 56, no. 6 (1991): 521–27. http://dx.doi.org/10.1007/bf01246766.

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5

Nesin, Ali. "Generalized Fitting subgroup of a group of finite Morley rank." Journal of Symbolic Logic 56, no. 4 (1991): 1391–99. http://dx.doi.org/10.2307/2275483.

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AbstractWe define a characteristic and definable subgroup F*(G) of any group G of finite Morley rank that behaves very much like the generalized Fitting subgroup of a finite group. We also prove that semisimple subnormal subgroups of G are all definable and that there are finitely many of them.

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6

Heinenken, Hermann. "Fitting classes of certain metanilpotent groups." Glasgow Mathematical Journal 36, no. 2 (1994): 185–95. http://dx.doi.org/10.1017/s001708950003072x.

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There are two families of group classes that are of particular interest for clearing up the structure of finite soluble groups: Saturated formations and Fitting classes. In both cases there is a unique conjugacy class of subgroups which are maximal as members of the respective class combined with the property of being suitably mapped by homomorphisms (in the case of saturated formations) or intersecting suitably with normal subgroups (when considering Fitting classes). While it does not seem too difficult, however, to determine the smallest saturated formation containing a given group, the sam

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7

Robinson, Derek J. S. "On metanilpotent groups satisfying the minimal condition on normal subgroups." Journal of Group Theory 22, no. 5 (2019): 809–36. http://dx.doi.org/10.1515/jgth-2018-0210.

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Abstract A comprehensive account is given of the theory of metanilpotent groups with the minimal condition on normal subgroups. After reviewing classical material, many new results are established relating to the Fitting subgroup, the Hirsch–Plotkin radical, the Frattini subgroup, splitting and conjugacy, the Schur multiplier, Sylow structure and the maximal subgroups. Module theoretic and homological methods are used throughout.

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8

Srinivasan, S. "Maximal subgroups of finite groups." International Journal of Mathematics and Mathematical Sciences 13, no. 2 (1990): 311–14. http://dx.doi.org/10.1155/s016117129000045x.

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In finite groups maximal subgroups play a very important role. Results in the literature show that if the maximal subgroup has a very small index in the whole group then it influences the structure of the group itself. In this paper we study the case when the index of the maximal subgroups of the groups have a special type of relation with the Fitting subgroup of the group.

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9

KHUKHRO, E. I., P. SHUMYATSKY, and G. TRAUSTASON. "RIGHT ENGEL-TYPE SUBGROUPS AND LENGTH PARAMETERS OF FINITE GROUPS." Journal of the Australian Mathematical Society 109, no. 3 (2019): 340–50. http://dx.doi.org/10.1017/s1446788719000181.

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AbstractLet $g$ be an element of a finite group $G$ and let $R_{n}(g)$ be the subgroup generated by all the right Engel values $[g,_{n}x]$ over $x\in G$. In the case when $G$ is soluble we prove that if, for some $n$, the Fitting height of $R_{n}(g)$ is equal to $k$, then $g$ belongs to the $(k+1)$th Fitting subgroup $F_{k+1}(G)$. For nonsoluble $G$, it is proved that if, for some $n$, the generalized Fitting height of $R_{n}(g)$ is equal to $k$, then $g$ belongs to the generalized Fitting subgroup $F_{f(k,m)}^{\ast }(G)$ with $f(k,m)$ depending only on $k$ and $m$, where $|g|$ is the product

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10

Heliel, A. A., M. M. Al-Shomrani та T. M. Al-Gafri. "On weakly ℨ-permutable subgroups of finite groups". Journal of Algebra and Its Applications 14, № 05 (2015): 1550062. http://dx.doi.org/10.1142/s0219498815500620.

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Let ℨ be a complete set of Sylow subgroups of a finite group G, that is, for each prime p dividing the order of G, ℨ contains exactly one and only one Sylow p-subgroup of G. A subgroup H of G is said to be ℨ-permutable of G if H permutes with every member of ℨ. A subgroup H of G is said to be a weakly ℨ-permutable subgroup of G if there exists a subnormal subgroup K of G such that G = HK and H ∩ K ≤ Hℨ, where Hℨ is the subgroup of H generated by all those subgroups of H which are ℨ-permutable subgroups of G. In this paper, we prove that if p is the smallest prime dividing the order of G and th

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