... 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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... defmacro defprinter ( name args &body body ) . ... body ) ) . ... defprinter :property ( type name &rest body ) . print-statement-with-body stream body nil "public ~a ~a" type name ) ) . ... defprinter :get ( &rest body ) . print-statement-with-body stream body nil "get" ) ) . ... defprinter :constructor ( name args &rest body ) . ... defprinter :class ( name &rest body ) . print-statement-with-body stream body t "public class ~a" name ) ) . ... defprinter :namespace ( name &rest body ) . ...

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