https://groupprops.subwiki.org/w/index.php?action=history&feed=atom&title=Cyclic_group_of_prime-square_order
Cyclic group of prime-square order - Revision history
2026-07-15T22:55:31Z
Revision history for this page on the wiki
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https://groupprops.subwiki.org/w/index.php?title=Cyclic_group_of_prime-square_order&diff=26035&oldid=prev
Vipul: /* Particular cases */
2010-07-18T15:36:03Z
<p><span dir="auto"><span class="autocomment">Particular cases</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 15:36, 18 July 2010</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; 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>| 7 || [[cyclic group:Z49]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; 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>| 7 || [[cyclic group:Z49]]</div></td></tr>
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<tr><td colspan="2" class="diff-side-deleted"></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;">==Arithmetic functions==</ins></div></td></tr>
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<tr><td colspan="2" class="diff-side-deleted"></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;">{{generic abelian p-group arithmetic function table|</ins></div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; 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>==GAP implementation==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; 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>==GAP implementation==</div></td></tr>
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Vipul
https://groupprops.subwiki.org/w/index.php?title=Cyclic_group_of_prime-square_order&diff=26030&oldid=prev
Vipul at 15:24, 18 July 2010
2010-07-18T15:24:32Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 15:24, 18 July 2010</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; 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>This is the cyclic group corresponding to the partition <math>2</math> of <math>2</math>.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; 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>This is the cyclic group corresponding to the partition <math>2</math> of <math>2</math>.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; 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;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; 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;"><br></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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;">==Particular cases==</ins></div></td></tr>
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<tr><td colspan="2" class="diff-side-deleted"></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;">! [[prime number]] <math>p</math> !! corresponding cyclic group of prime-square order</ins></div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; 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>==GAP implementation==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; 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>==GAP implementation==</div></td></tr>
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Vipul
https://groupprops.subwiki.org/w/index.php?title=Cyclic_group_of_prime-square_order&diff=26028&oldid=prev
Vipul: /* GAP implementation */
2010-07-18T15:21:10Z
<p><span dir="auto"><span class="autocomment">GAP implementation</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 15:21, 18 July 2010</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; 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>==GAP implementation==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; 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>==GAP implementation==</div></td></tr>
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<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>{{GAP ID|p^2|1}}</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>{{GAP ID <ins style="font-weight: bold; text-decoration: none;">with math</ins>|p^2|1}}</div></td></tr>
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Vipul
https://groupprops.subwiki.org/w/index.php?title=Cyclic_group_of_prime-square_order&diff=26027&oldid=prev
Vipul: Created page with '==Definition== Let <math>p</math> be a prime number. The '''cyclic group''' of order <math>p^2</math>, denoted <math>C_{p^2}, \mathbb{Z}_{p^2}, \mathbb{Z}/p^2\mathbb{Z}</mat...'
2010-07-18T15:20:11Z
<p>Created page with '==Definition== Let <math>p</math> be a <a href="/wiki/Prime_number" title="Prime number">prime number</a>. The '''cyclic group''' of order <math>p^2</math>, denoted <math>C_{p^2}, \mathbb{Z}_{p^2}, \mathbb{Z}/p^2\mathbb{Z}</mat...'</p>
<p><b>New page</b></p><div>==Definition==<br />
<br />
Let <math>p</math> be a [[prime number]]. The '''cyclic group''' of order <math>p^2</math>, denoted <math>C_{p^2}, \mathbb{Z}_{p^2}, \mathbb{Z}/p^2\mathbb{Z}</math>, is defined as the [[cyclic group]] with <math>p^2</math> elements.<br />
<br />
This is the cyclic group corresponding to the partition <math>2</math> of <math>2</math>.<br />
<br />
==GAP implementation==<br />
<br />
{{GAP ID|p^2|1}}<br />
<br />
===Short descriptions===<br />
<br />
{| class="sortable" border="1"<br />
! Description !! Functions used !! Mathematical comments<br />
|-<br />
| <tt>CyclicGroup(p^2)</tt> || [[GAP:CyclicGroup|CyclicGroup]] ||<br />
|}</div>
Vipul