... 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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Ссылки http://halgebra.math.msu.su/staff/klyachko/papers/cyclic.pdf -- 162.8 Кб -- 13.02.2013 Похожие документы
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Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, English Department Six standard deviations suffice by Y. Demidovich, group 305, English teacher: A. A. Savchenko 1. ... The proof of the main theorem is based on the probabilistic method, Paul Erds being regarded as its inventor. ... It is important to prove that the main theorem is "best possible" up to the constant factor, i.e. to show that the best asymptotic is obtained. ... English teacher: _______________/ A. Savchenko ...
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Ссылки http://danp.sinp.msu.ru/Articles_GSIB/nimb206_902_Yamada_largeClasterIonCurrent.pdf -- 258.3 Кб -- 07.10.2005 Похожие документы
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