https://artofproblemsolving.com/wiki/index.php?title=Sylow_p-subgroup&feed=atom&action=history
Sylow p-subgroup - Revision history
2024-03-28T10:41:48Z
Revision history for this page on the wiki
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https://artofproblemsolving.com/wiki/index.php?title=Sylow_p-subgroup&diff=26253&oldid=prev
Boy Soprano II: /* See also */ capitalization
2008-06-02T20:48:35Z
<p><span dir="auto"><span class="autocomment">See also: </span> capitalization</span></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 20:48, 2 June 2008</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; 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>* [[Sylow <del class="diffchange diffchange-inline">theorems</del>]]</div></td><td class='diff-marker'>+</td><td style="color: #222; 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>* [[Sylow <ins class="diffchange diffchange-inline">Theorems</ins>]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[p-group |<math>p</math>-group]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[p-group |<math>p</math>-group]]</div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Group theory]]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Group theory]]</div></td></tr>
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Boy Soprano II
https://artofproblemsolving.com/wiki/index.php?title=Sylow_p-subgroup&diff=26252&oldid=prev
Boy Soprano II: definition
2008-06-02T20:42:10Z
<p>definition</p>
<p><b>New page</b></p><div>{{title restriction|Sylow <math>p</math>-subgroup|romanized}}<br />
<br />
A '''Sylow <math>\boldsymbol{p}</math>-subgroup''' is a particular type of [[p-group |<math>p</math>]]-[[subgroup]] of a [[finite]] [[group]]. Specifically, if <math>G</math> is a finite group, then a subgroup <math>P</math> is a Sylow <math>p</math>-subgroup of <math>G</math> if <math>P</math> is a <math>p</math>-group, and <math>p</math> does not divide the index of <math>G</math>.<br />
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== See also ==<br />
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* [[Sylow theorems]]<br />
* [[p-group |<math>p</math>-group]]<br />
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[[Category:Group theory]]</div>
Boy Soprano II