https://en.formulasearchengine.com/w/index.php?action=history&feed=atom&title=Caccioppoli_set 2026-09-01T20:18:47Z Revision history for this page on the wiki MediaWiki 1.47.0-wmf.7 https://en.formulasearchengine.com/w/index.php?title=Caccioppoli_set&diff=252446&oldid=prev 2014-11-15T00:36:04Z

<p><span class="autocomment">Historical references: </span><a href="/w/index.php?title=User:Monkbot/Task_6:_CS1_language_support&amp;action=edit&amp;redlink=1" class="new" title="User:Monkbot/Task 6: CS1 language support (page does not exist)">Task 6c</a>: add |script-title=; replace {{xx icon}} with |language= in CS1 citations; clean up language icons;</p> <table style="background-color: #fff; color: #202122;" data-mw-interface=""> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 02:36, 15 November 2014</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">In [[mathematics]]</del>, <del style="font-weight: bold; text-decoration: none;">the '''Alperin–Brauer–Gorenstein theorem</del>'<del style="font-weight: bold; text-decoration: none;">'' characterizes the  finite [[simple group]]</del>s <del style="font-weight: bold; text-decoration: none;">with [[quasidihedral]] or wreathed&lt;ref&gt;A 2-group </del>is '<del style="font-weight: bold; text-decoration: none;">''wreathed''' if it is a nonabelian [[semidirect product]] of a [[maximal subgroup]] that is a [[direct product of groups|direct product]] of two [[cyclic group]]s of the same order, that is, if it is the [[wreath product]] of a cyclic 2-group with the [[symmetric group]] </del>on <del style="font-weight: bold; text-decoration: none;">2 points</del>.<del style="font-weight: bold; text-decoration: none;">&lt;/ref&gt; [[Sylow subgroup|Sylow 2-subgroups]]</del>. <del style="font-weight: bold; text-decoration: none;">These are isomorphic either to three-dimensional [[projective special linear group]]s or [[projective special unitary group]]s over a [[finite field]]s of odd order, depending on a certain congruence, or to the [[Mathieu group]] </del>&lt;<del style="font-weight: bold; text-decoration: none;">math&gt;M_{11}&lt;/math</del>&gt;<del style="font-weight: bold; text-decoration: none;">.  {{harvtxt|Alperin|Brauer|Gorenstein|1970}} proved this in the course of 261 pages.  The subdivision by 2-fusion is sketched there, given as an exercise in {{harvtxt|Gorenstein|1968|loc=Ch. 7}}, and presented in some detail in {{harvtxt|Kwon|Lee|Cho|Park|1980}}.</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Hi there</ins>, <ins style="font-weight: bold; text-decoration: none;">I am Sophia. Alaska is exactly where he</ins>'s <ins style="font-weight: bold; text-decoration: none;">always been living. What me and my family members adore </ins>is <ins style="font-weight: bold; text-decoration: none;">performing ballet but I</ins>'<ins style="font-weight: bold; text-decoration: none;">ve been using </ins>on <ins style="font-weight: bold; text-decoration: none;">new issues lately</ins>. <ins style="font-weight: bold; text-decoration: none;">Office supervising is exactly where her primary earnings arrives from</ins>.&lt;<ins style="font-weight: bold; text-decoration: none;">br</ins>&gt;&lt;<ins style="font-weight: bold; text-decoration: none;">br</ins>&gt;<ins style="font-weight: bold; text-decoration: none;">my web</ins>-<ins style="font-weight: bold; text-decoration: none;">site </ins>- <ins style="font-weight: bold; text-decoration: none;">spirit messages </ins>- [http://<ins style="font-weight: bold; text-decoration: none;">modenpeople</ins>.<ins style="font-weight: bold; text-decoration: none;">co</ins>.kr/<ins style="font-weight: bold; text-decoration: none;">modn</ins>/<ins style="font-weight: bold; text-decoration: none;">qna</ins>/<ins style="font-weight: bold; text-decoration: none;">292291 please click for source</ins>] -</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">==Notes==</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&lt;<del style="font-weight: bold; text-decoration: none;">references/</del>&gt;</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">==References==</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">*{{Citation | last1=Alperin | first1=J. L. | author1-link=J. L. Alperin | last2=Brauer | first2=R. | author2</del>-<del style="font-weight: bold; text-decoration: none;">link=Richard Brauer | last3=Gorenstein | first3=D. | author3</del>-<del style="font-weight: bold; text-decoration: none;">link=Daniel Gorenstein | title=Finite groups with quasi</del>-<del style="font-weight: bold; text-decoration: none;">dihedral and wreathed Sylow 2-subgroups. | doi=10.2307/1995627 | mr=0284499 | year=1970 | journal=[[Transactions of the American Mathematical Society]] | publisher=[[American Mathematical Society]] | issn=0002-9947 | volume=151 | pages=1–261 | jstor=1995627 | issue=1}}</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">*{{Citation | last1=Gorenstein | first1=D. | author1-link=Daniel Gorenstein | title=Finite groups | publisher=[</del>[<del style="font-weight: bold; text-decoration: none;">Harper &amp; Row Publishers]] | mr=0231903 | year=1968}}</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">*{{Citation | last1=Kwon | first1=T. | last2=Lee | first2=K. | last3=Cho | first3=I. | last4=Park | first4=S. | title=On finite groups with quasidihedral Sylow 2-groups | url=</del>http://<del style="font-weight: bold; text-decoration: none;">kms</del>.<del style="font-weight: bold; text-decoration: none;">or</del>.kr/<del style="font-weight: bold; text-decoration: none;">home</del>/<del style="font-weight: bold; text-decoration: none;">journal</del>/<del style="font-weight: bold; text-decoration: none;">include/downloadPdfJournal.asp?articleuid=%7B71EE4232%2D6997%2D4030%2D8CA7%2D85CDBCB5A2CC%7D  | mr=593804 | year=1980 | journal=Journal of the Korean Mathematical Society | issn=0304-9914 | volume=17 | issue=1 | pages=91–97}}</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">{{DEFAULTSORT:Alperin-Brauer-Gorenstein theorem}}</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[Category:Finite groups</del>]<del style="font-weight: bold; text-decoration: none;">]</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[Category:Theorems in algebra]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">{{Abstract-algebra</del>-<del style="font-weight: bold; text-decoration: none;">stub}}</del></div></td><td colspan="2" class="diff-side-added"></td></tr> </table>

en>Monkbot https://en.formulasearchengine.com/w/index.php?title=Caccioppoli_set&diff=16039&oldid=prev 2014-01-02T10:59:47Z

<p><span class="autocomment">Notions of boundary: </span> typos</p> <a href="https://en.formulasearchengine.com/w/index.php?title=Caccioppoli_set&amp;diff=16039&amp;oldid=252445">Show changes</a>

94.68.137.22 https://en.formulasearchengine.com/w/index.php?title=Caccioppoli_set&diff=252445&oldid=prev 2012-08-21T10:40:48Z

<p>Another major reference</p> <a href="https://en.formulasearchengine.com/w/index.php?title=Caccioppoli_set&amp;diff=252445">Show changes</a>

en>Daniele.tampieri