... QED n = |G| . ... B] Ken Brown, Mathematics 4340, When are all groups of order n cyclic? ... http://olympiads.mccme.ru/lktg/2011/6/index.htm WHEN ANY GROUP OF N ELEMENTS IS CYCLIC? ... Thus |G| is divisible by m. QED A maximal subgroup of a group is a maximal by inclusion subgroup not coinciding with G and containing more than one element. ... 1) Any maximal subgroup F contains the center Z = Z (G) := {a G : g a = ag for any g G}, i.e., the set of elements commuting with each element of the group. ...

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THE JOURNAL OF CHEMICAL PHYSICS 133, 144101 2010 Effective numbers of modes applied to analysis of internal dynamics of weakly bound clusters A. A. Rybakov,a E. D. Belega, and D. N. Trubnikov Department of ... Russia Received 11 June 2009; accepted 14 September 2010; published online 11 October 2010 The dependence of the volume of the chaotic component in the internal dynamics of triatomic van der Waals clusters on the angular ... When such difference is small, the regular motion disappears. ...

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... The author points to the potential value of an investigation of Prescriptivism not limited to the problems specific to a single language. Key words: Prescriptivism, standard language, comparative linguistics. ... No one felt competent to judge the quality or correctness of anyone else's use of the language. ... So when comparing usage problems in more than one language, one must consider both the possibility of a formal analogy and the possibility of a functional analogy. ...

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... 000, 1­12 (2009) Printed 11 February 2010 A (MN L TEX style file v2.2) Analytical approximations of K -corrections in optical and near-infrared bands I1gor V. Chilingarian1 2 ,2,3 , Anne-Laure Melchior 1,4 and Ivan Yu. ... Received 2010 February 01; in original form 2009 August 14 ABSTRACT To compare photometric properties of galaxies at different redshifts, the fluxes need to be corrected for the changes of effective rest-frame wavelengths of filter bandpasses, called K -corrections. ... Table 1. ...

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ґ Universite catholique de Louvain ґ ґ Departement des Sciences economiques ` ґ ґ These presentee en vue de lobtention du grade de ґ docteur en sciences economiques Essays on economic dynamics under heterogeneity Anton O. Belyakov Composition du jury: Julio Davila (promoteur) Raouf Boucekkine Carmen Camacho Vladimir Veliov Mathieu Parenti Acknowledgements First of all I would like to thank my supervisors Raouf Boucekkine and Julio Davila. I'm grateful to other members of my doctoral jury: Mathieu Parenti,

66. http://hit-conf.imec.msu.ru/books/NeZaTeGiUs_2010.pdf