document.write( "Question 1137640: Hi The Best Teachers online! Can you help me on this question please? Thank you! God bless!\r
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Algebra.Com's Answer #755485 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Z36 is the additive group of all integers from 0 to 35 modulus 36.\r\n" );
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document.write( "Its subgroups are:\r\n" );
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document.write( "1)  of the order 2:  {0,18};\r\n" );
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document.write( "2)  of the order 3:  {0,12,24};\r\n" );
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document.write( "3)  of the order 4:  {0,9,18,27};\r\n" );
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document.write( "4)  of the order 6:  {0,6,12,18,24,30};\r\n" );
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document.write( "5)  of the order 9:  {0,4,8,12,16,20,24,28,32};\r\n" );
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document.write( "6)  of the order 12:  {0,3,6,9,12,15,18,21,24,27,30,33};\r\n" );
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document.write( "7)  of the order 18:  {0,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34}.\r\n" );
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\n" ); document.write( "\n" ); document.write( "That's all.\r
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\n" ); document.write( "\n" ); document.write( "All these groups are cyclic.\r
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