Large dimensional classical groups and linear spaces

Suppose that a group $G$ has socle $L$ a simple large-rank classical group. Suppose furthermore that $G$ acts transitively on the set of lines of a linear space $\mathcal{S}$. We prove that, provided $L$ has dimension at least 25, then $G$ acts transitively on the set of flags of $\mathcal{S}$ and hence the action is known. For particular families of classical groups our results hold for dimension smaller than 25. The group theoretic methods used to prove the result (described in Section 3) are robust and general and are likely to have wider application in the study of almost simple groups acting on finite linear spaces.Comment: 32 pages. Version 2 has a new format that includes less repetition. It also proves a slightly stronger result; with the addition of our "Concluding Remarks" section the result holds for dimension at least 2

On the solvability of groups with four class sizes

It is shown that if the set of conjugacy class sizes of a finite group G is {1,m,n,mn}, where m, n are positive integers which do not divide each other, then G is up to central factors a {p,q}-group. In particular, G is solvable.This research is supported by the Spanish Government, Proyecto MTM2010-19938-C03-02 and by the Valencian Government, Proyecto PROMETEO/2011/30, and the first author is also supported by grant Fundacio Caixa-Castello P11B2010-47.Beltrán, A.; Felipe Román, MJ. (2012). On the solvability of groups with four class sizes. Journal of Algebra and Its Applications. 11(2):1250036-1250043. https://doi.org/10.1142/S0219498811005609S1250036125004311

Prime power indices in factorised groups

[EN] Let the group G = AB be the product of the subgroups A and B. We determine some structural properties of G when the p-elements in A. B have prime power indices in G, for some prime p. More generally, we also consider the case that all prime power order elements in A. B have prime power indices in G. In particular, when G = A = B, we obtain as a consequence some known results.The first author is supported by Proyecto Prometeo II/2015/011, Generalitat Valenciana (Spain), and the second author is supported by Proyecto MTM2014-54707-C3-1-P, Ministerio de Economia, Industria y Competitividad (Spain). The results in this paper are part of the third author's Ph.D. thesis, and he acknowledges the predoctoral grant ACIF/2016/170, Generalitat Valenciana (Spain).Felipe Román, MJ.; Martínez-Pastor, A.; Ortiz-Sotomayor, VM. (2017). Prime power indices in factorised groups. Mediterranean Journal of Mathematics. 14(6):1-15. https://doi.org/10.1007/s00009-017-1023-6S115146Amberg, B., Franciosi, S., de Giovanni, F.: Products of Groups. Oxford University Press Inc., New York (1992)Baer, R.: Group elements of prime power index. Trans. Am. Math. Soc. 75, 20–47 (1953)Ballester-Bolinches, A., Cossey, J., Li, Y.: Mutually permutable products and conjugacy classes. Monatsh. Math. 170, 305–310 (2013)Ballester-Bolinches, A., Esteban-Romero, R., Asaad, M.: Products of finite groups, vol. 53 of de Gruyter Expositions in Mathematics, Berlin (2010)Berkovich, Y., Kazarin, L.S.: Indices of elements and normal structure of finite groups. J. Algebra 283, 564–583 (2005)Camina, A.R., Camina, R.D.: Implications of conjugacy class size. J. Group Theory 1(3), 257–269 (1998)Camina, A.R., Shumyatsky, P., Sica, C.: On elements of prime-power index in finite groups. J. Algebra 323, 522–525 (2010)Chillag, D., Herzog, M.: On the length of the conjugacy classes of finite groups. J. Algebra 131, 110–125 (1990)Doerk, K., Hawkes, T.: Finite Soluble Groups, vol. 4 of de Gruyter Expositions in Mathematics, Berlin (1992)Felipe, M.J., Martínez-Pastor, A., Ortiz-Sotomayor, V.M.: On finite groups with square-free conjugacy class sizes. Int. J. Group Theory (to appear)Kurzweil, H., Stellmacher, B.: The theory of finite groups: an introduction. Springer, New York (2004)Liu, X., Wang, Y., Wei, H.: Notes on the length of conjugacy classes of finite groups. J. Pure Appl. Algebra 196, 111–117 (2005

Pretibial myxoedema: a case report with scanning electron microscopy.

Made available in DSpace on 2018-01-11T23:40:39Z (GMT). No. of bitstreams: 1 Suita17Pretibialmyxoedemaacase1.pdf: 679167 bytes, checksum: 44436932aec60db1830d43527c90b3c4 (MD5) Previous issue date: 2018-01-10bitstream/item/170810/1/Suita-17-Pretibial-myxoedema-a-case-1.pd

Body composition and somatotype in professional men's handball according to playing positions

Se realizó un estudio descriptivo transversal en 19 jugadores profesionales del Club Balonmano Valladolid. Las mediciones antropométricas fueron realizadas según el protocolo estándar. Se estimaron la masa grasa y ósea, se calculó el somatotipo y se analizaron las diferencias entre las variables en función de la posición. Como resultados, se obtuvo que los pivotes fueron los jugadores más pesados (con mayor porcentaje de masa grasa); los extremos, los más ligeros y los laterales, junto con los pivotes, los más altos. No se observaron diferencias en el IMC en los grupos. En la somatocarta los centrales y laterales se situaron en la zona central; los extremos y los pivotes en la endomorfa-mesomorfa y los porteros en la ecto-endomorfa. Así se evidenció que las variables antropométricas, los datos de composición corporal y la somatocarta de los deportistas confirman las características morfológicas básicas de los jugadores para la posición para la que son más aptosA cross-sectional descriptive study was accomplished in 19 professional players from Valladolid Handball Club. Anthropometric measurements were performed according to standard protocol. Body fat and bone mass were estimated, and the somatotype was calculated. As results, the line players were significantly the heaviest players; the wings were lightest and the backs, with the line players, the tallest. Nevertheless, no significant differences in BMI were observed. Regarding the body composition, the line players showed the highest values of fat-mass. No differences in BMI were observed in the groups. With respect to the somatochart, the center backs and backs were in the central area; wings and line players showed an endomorph-mesomorph development, and goalkeepers were in the ectoendomorph area. As conclusions, anthropometric variables, body composition data and the somatochart of the athletes evaluated confirm the basic morphological characteristics of the players for the position for which they are best suite

A Concerted Kinase Interplay Identifies PPARγ as a Molecular Target of Ghrelin Signaling in Macrophages

The peroxisome proliferator-activator receptor PPARγ plays an essential role in vascular biology, modulating macrophage function and atherosclerosis progression. Recently, we have described the beneficial effect of combined activation of the ghrelin/GHS-R1a receptor and the scavenger receptor CD36 to induce macrophage cholesterol release through transcriptional activation of PPARγ. Although the interplay between CD36 and PPARγ in atherogenesis is well recognized, the contribution of the ghrelin receptor to regulate PPARγ remains unknown. Here, we demonstrate that ghrelin triggers PPARγ activation through a concerted signaling cascade involving Erk1/2 and Akt kinases, resulting in enhanced expression of downstream effectors LXRα and ABC sterol transporters in human macrophages. These effects were associated with enhanced PPARγ phosphorylation independently of the inhibitory conserved serine-84. Src tyrosine kinase Fyn was identified as being recruited to GHS-R1a in response to ghrelin, but failure of activated Fyn to enhance PPARγ Ser-84 specific phosphorylation relied on the concomitant recruitment of docking protein Dok-1, which prevented optimal activation of the Erk1/2 pathway. Also, substitution of Ser-84 preserved the ghrelin-induced PPARγ activity and responsiveness to Src inhibition, supporting a mechanism independent of Ser-84 in PPARγ response to ghrelin. Consistent with this, we found that ghrelin promoted the PI3-K/Akt pathway in a Gαq-dependent manner, resulting in Akt recruitment to PPARγ, enhanced PPARγ phosphorylation and activation independently of Ser-84, and increased expression of LXRα and ABCA1/G1. Collectively, these results illustrate a complex interplay involving Fyn/Dok-1/Erk and Gαq/PI3-K/Akt pathways to transduce in a concerted manner responsiveness of PPARγ to ghrelin in macrophages

Finite line-transitive linear spaces: parameters and normal point-partitions

Until the 1990's the only known finite linear spaces admitting line-transitive, pointimprimitive groups of automorphisms were Desarguesian projective planes and two linear spaces with 91 points and line size 6. In 1992 a new family of 467 such spaces was constructed, all having 729 points and line size 8. These were shown to be the only linear spaces attaining an upper bound of Delandtsheer and Doyen on the number of points. Projective planes, and the linear spaces just mentioned on 91 or 729 points, are the only known examples of such spaces, and in all cases the line-transitive group has a non-trivial normal subgroup intransitive on points. The orbits of this normal subgroup form a partition of the point set called a normal point-partition. We give a systematic analysis of finite line-transitive linear spaces with normal point-partitions. As well as the usual parameters of linear spaces there are extra parameters connected with the normal point-partition that affect the structure of the linear space. Using this analysis we characterise the line-transitive linear spaces for which the values of various of these parameters are small. In particular we obtain a classification of all imprimitive linetransitive linear spaces that ‘nearly attain’ the Delandtsheer-Doyen upper bound. © 2003, by Walter de Gruyter GmbH & Co. KG. All rights reserved.(Math.Reviews 2004k :20002)SCOPUS: ar.jinfo:eu-repo/semantics/publishe

Transitive projective planes

A long-standing conjecture is that any transitive finite projective plane is Desarguesian. We make a contribution towards a proof of this conjecture by showing that a group acting transitively on the points of a non-Desarguesian projective plane must not contain any components.Peer Reviewe