document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182332>Question 1182332</A>: <I><SPAN STYLE=\"word-break: break-all;\"> . Find the multiplicative inverses of the given elements if they exist:<BR>\n" );
document.write( "[11]16 𝑖𝑛 ℤ16 𝑎𝑛𝑑 [38]83 𝑖𝑛 ℤ83 .<BR>\n" );
document.write( "Let 𝑎 be a fixed element of a group 𝐺 and let<BR>\n" );
document.write( "𝑁(𝑡) = {𝑥 ∈ 𝐺 ∶ 𝑥𝑡 = 𝑡𝑥}.<BR>\n" );
document.write( "Show that 𝑁(𝑡) is a subgroup of 𝐺.<BR>\n" );
document.write( "Find the order and inverse of the permutation<BR>\n" );
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document.write( "1 2 3<BR>\n" );
document.write( "2 5 4<BR>\n" );
document.write( "4 5 6<BR>\n" );
document.write( "3 6 1<BR>\n" );
document.write( ")  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #812312 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52780)</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=812312\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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