... 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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Ссылки http://ocean.phys.msu.ru/courses/geo/lectures-addons/15/2001%20Demorest%2C%20Dynamo%20theory%20and%20Earth's%20magnetic%20field%20.pdf -- 266.6 Кб -- 07.12.2009 Похожие документы
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Ссылки http://rnp-group.genebee.msu.ru/pages/pdf/biochem2002_1.pdf -- 101.2 Кб -- 18.02.2008 Похожие документы
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LUT Summer School: www.lut.fi/summerschool summerschool@lut.fi Guide for Student Advisers Greetings from your colleagues at Lappeenranta University of Technology! ... With the wide-ranging selection of courses on-offer during the LUT Summer School we aim to both challenge and inspire students. ... Lappeenranta and LUT Lappeenranta is located some 220 km northeast of Finland's capital, and about 230 km northwest of St. Petersburg, Russia. ... The fee will be given on the LUT Summer School web pages. ...
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Ссылки http://www.phys.msu.ru/rus/about/structure/admin/OTDEL-FOREIGN/INVITATIONS/LUT_Summer_School_2013_staff.pdf -- 448.5 Кб -- 17.01.2013 Похожие документы
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Ссылки http://law.msu.ru/bitcache/bc6ca81fd934d7083472270ea392667daf49eebb?vid=30191&disposition=attachment&op=download -- 260.2 Кб -- 28.02.2014 Похожие документы