<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> <html> <meta name="GENERATOR" content="TtH 3.59"> <style type="text/css"> div.p { margin-top: 7pt;}</style> <style type="text/css"><!-- td div.comp { margin-top: -0.6ex; margin-bottom: -1ex;} td div.comb { margin-top: -0.6ex; margin-bottom: -.6ex;} td div.hrcomp { line-height: 0.9; margin-top: -0.8ex; margin-bottom: -1ex;} td div.norm {line-height:normal;} span.roman {font-family: serif; font-style: normal; font-weight: normal;} span.overacc2 {position: relative; left: .8em; top: -1.2ex;} span.overacc1 {position: relative; left: .6em; top: -1.2ex;} --></style> <title> Changes in the GAP Library of Tables of Marks</title> <h1 align="center">Changes in the GAP Library of Tables of Marks </h1> <div class="p"><!----></div> <br /><br /> <body bgcolor="FFFFFF"> <div class="p"><!----></div> This list contains the changes in the <font face="helvetica"><font size="+0">GAP</font></font> Library of Tables of Marks since the release of TomLib 1.0 (together with <font face="helvetica"><font size="+0">GAP</font></font> 4.3) in May 2002. We denote mathematical errors by <b>***</b> and new information by <b>NEW</b>. We use <b>C</b> to denote changes that are not obviously corrections; the number of these changes is kept small. <div class="p"><!----></div> <br /><br /><b>Release of TomLib 1.1.1 (December 2003)</b> <div class="p"><!----></div> <br /><br />Changes are assigned to the simple group involved, and shown in alphabetical order. <div class="p"><!----></div> <br /> <table> <tr><td valign="top" align="right"><b>***</b></td><td valign="top"> <sup>3</sup>D<sub>4</sub>(2)</td><td valign="top"> : </td><td valign="top"> <td valign="top"><table border="0"><tr><td valign="top"></td><td width="633"> The derived subgroups for the classes 2847 and 2848 were corrected, they are in the classes 2823 and 2827, respectively (not 2847 and 2848) . </td></tr></table><!--vbox--> </td><td valign="top"></td></tr> <tr><td valign="top" align="right"><b>***</b></td><td valign="top"> </td><td valign="top"> : </td><td valign="top"> </td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633"> The derived subgroups for the last classes in the maximal subgroups S<sub>3</sub> ×L<sub>2</sub>(8) and (7 ×L<sub>2</sub>(7)):3 were corrected, they are in the last but one class not in the last . </td></tr></table><!--vbox--> </td><td valign="top"></td></tr> <tr><td valign="top" align="right"><b>***</b></td><td valign="top"> Co<sub>3</sub></td><td valign="top"> : </td><td valign="top"> </td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633"> The derived subgroups for the classes 2018, 2318, and 2457 in Co<sub>3</sub> were corrected, they are in the classes 1435, 2048, and 2442, respectively (not 2018, 2318, and 2457) . </td></tr></table><!--vbox--> </td><td valign="top"></td></tr> <tr><td valign="top" align="right"><b>***</b></td><td valign="top"> </td><td valign="top"> : </td><td valign="top"> </td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633"> The derived subgroups for the last classes in the maximal subgroups 2 ×M<sub>12</sub>, S<sub>3</sub> ×L<sub>2</sub>(8):3, and A<sub>4</sub> ×S<sub>5</sub> were corrected, they are in the classes 514, 139, and 138, respectively (not 515, 144, and 146) . </td></tr></table><!--vbox--> </td><td valign="top"></td></tr> <tr><td valign="top" align="right"><b>***</b></td><td valign="top"> L<sub>3</sub>(4)</td><td valign="top"> : </td><td valign="top"> </td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633"> The derived subgroups for the class 199 in 3.L<sub>3</sub>(4).2<sub>3</sub> were corrected, they are in the class 198 not 199 . </td></tr></table><!--vbox--> </td><td valign="top"></td></tr> <tr><td valign="top" align="right"><b>***</b></td><td valign="top"> </td><td valign="top"> : </td><td valign="top"> </td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633"> The generators for the representative of the class 706 in 2<sup>2</sup>.L<sub>3</sub>(4).2<sub>2</sub> were replaced; the former generators belonged to a group in class 705 . </td></tr></table><!--vbox--> </td><td valign="top"></td></tr> <tr><td valign="top" align="right"><b>***</b></td><td valign="top"> O<sub>8</sub><sup><font face="symbol">-</font ></sup>(2)</td><td valign="top"> : </td><td valign="top"> </td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633"> The straight line programs were corrected; up to now, the corresponding data stored in the table did not describe valid straight line programs . </td></tr></table><!--vbox--> </td><td valign="top"></td></tr> <tr><td valign="top" align="right"><b>***</b></td><td valign="top"> </td><td valign="top"> : </td><td valign="top"> </td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633"> The derived subgroups for the last class in the maximal subgroup (S<sub>3</sub> ×S<sub>3</sub> ×A<sub>5</sub>):2 of O<sub>8</sub><sup><font face="symbol">-</font ></sup>(2) were corrected, they are in the class 362 not 368 . </td></tr></table><!--vbox--> </td><td valign="top"></td></tr> <tr><td valign="top" align="right"><b>***</b></td><td valign="top"> U<sub>3</sub>(4)</td><td valign="top"> : </td><td valign="top"> </td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633"> The derived subgroups for the class 80 in U<sub>3</sub>(4).2 were corrected, they are in the class 79 not 80 . </td></tr></table><!--vbox--> </td><td valign="top"></td></tr> <tr><td valign="top" align="right"><b>***</b></td><td valign="top"> U<sub>4</sub>(2)</td><td valign="top"> : </td><td valign="top"> </td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633"> The generators for the representative of the class 110 in the maximal subgroup 2.(A<sub>4</sub> ×A<sub>4</sub>).2.2 of U<sub>4</sub>(2).2 were replaced; the former generators belonged to a group of order 24 not 12, which was conjugate to the representative of class 152 . </td></tr></table><!--vbox--> </td><td valign="top"></td></tr> <tr><td valign="top" align="right"><b>***</b></td><td valign="top"> U<sub>4</sub>(3)</td><td valign="top"> : </td><td valign="top"> </td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633"> The generators for the representatives of the classes 575 and 595 in U<sub>4</sub>(3).2<sub>1</sub> were replaced; the former generators belonged to groups of order 192 not 96, which were conjugate to the representative of class 709 . </td></tr></table><!--vbox--> </td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table> <div class="p"><!----></div> <br /><br /><b>Release of TomLib 1.1.2 (February 2004)</b> <div class="p"><!----></div> <br /><br />Changes are assigned to the simple group involved, and shown in alphabetical order. <div class="p"><!----></div> <br /> <table> <tr><td valign="top" align="right"><b>***</b></td><td valign="top"> O<sub>8</sub><sup><font face="symbol">-</font ></sup>(2)</td><td valign="top"> : </td><td valign="top"> <td valign="top"><table border="0"><tr><td valign="top"></td><td width="633"> The derived subgroups for the class 5269 were corrected, they are in the class 5108 not 5269 . </td></tr></table><!--vbox--> </td><td valign="top"></td></tr> <tr><td valign="top" align="right"><b>***</b></td><td valign="top"> </td><td valign="top"> : </td><td valign="top"> </td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633"> The fusion from the table of marks of the maximal subgroup (A<sub>8</sub> ×3):2 was corrected . </td></tr></table><!--vbox--> </td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table> <div class="p"><!----></div> <br /><br /><b>Release of TomLib 1.1.3 (September 2007)</b> <div class="p"><!----></div> <br /><br />Changes are assigned to the simple group involved, and shown in alphabetical order. <div class="p"><!----></div> <br /> <table> <tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> A<sub>12</sub></td><td valign="top"> : </td><td valign="top"> <td valign="top"><table border="0"><tr><td valign="top"></td><td width="633"> The table of marks of S<sub>12</sub> was added . </td></tr></table><!--vbox--> </td><td valign="top"></td></tr> <tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> A<sub>13</sub></td><td valign="top"> : </td><td valign="top"> </td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633"> The table of marks of A<sub>13</sub> was added . </td></tr></table><!--vbox--> </td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table> <div class="p"><!----></div> <br /><br /><b>Release of TomLib 1.1.4 (November 2008)</b> <div class="p"><!----></div> <br /><br />Changes are assigned to the simple group involved, and shown in alphabetical order. <div class="p"><!----></div> <br /> <table> <tr><td valign="top" align="right"><b>***</b></td><td valign="top"> A<sub>12</sub></td><td valign="top"> : </td><td valign="top"> <td valign="top"><table border="0"><tr><td valign="top"></td><td width="633"> The underlying group of the table of marks of S<sub>12</sub> was in fact S<sub>13</sub>, acting on 13 points; moreover, it had the group order of S<sub>12</sub> stored . </td></tr></table><!--vbox--> </td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table> <div class="p"><!----></div> <br /><br /> <div class="p"><!----></div> <div class="p"><!----></div> Last update November 20th, 2008. <div class="p"><!----></div> <div class="p"><!----></div> <br /><br /><hr /><small>File translated from T<sub><font size="-1">E</font></sub>X by <a href="http://hutchinson.belmont.ma.us/tth/"> T<sub><font size="-1">T</font></sub>H</a>, version 3.59.<br />On 20 Nov 2008, 15:54.</small> </html>