document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185787>Question 1185787</A>: <I><SPAN STYLE=\"word-break: break-all;\"> From Abstract Algebra class.\r<BR>\n" );
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document.write( "Consider Z9 - { [ 0 ] } with respect to multiplication [ a ] [ b ] = [ ab ] modulo 9 .<BR>\n" );
document.write( "( a )  Let G be the set of all [ a ] in Z9, - { [ 0 ] ) that have multiplicative inverses . Find G.<BR>\n" );
document.write( "( b ) Prove that G is a group .<BR>\n" );
document.write( "( c ) Prove or disprove : G is a cyclic group. <BR>\n" );
document.write( "For this exercise I tried to find a generator but I couldn’t.<BR>\n" );
document.write( "( d ) Find all distinct subgroups of G. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #816624 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52788)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=816624\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "In the Internet, I quickly found the source, which contains answers (with solutions) to most questions of your post.\r<BR>\n" );
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document.write( "To save my time, I will not reproduce it here; simply will give you the link\r<BR>\n" );
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document.write( "https://math.berkeley.edu/~kruckman/summer2013/final%20solutions.pdf\r<BR>\n" );
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document.write( "See problem (5) there.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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