https://subwiki.org/w/index.php?action=history&feed=atom&title=Subnormal_subgroup 2026-05-18T21:19:37Z Revision history for this page on the wiki MediaWiki 1.41.2 https://subwiki.org/w/index.php?title=Subnormal_subgroup&diff=227&oldid=prev 2008-11-08T15:14:34Z

<p></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 15:14, 8 November 2008</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l5">Line 5:</td> <td colspan="2" class="diff-lineno">Line 5:</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;"><div>Primary subject wiki entry: [[Groupprops:Subnormal subgroup]]</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>Primary subject wiki entry: [[Groupprops:Subnormal subgroup]]</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 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>Related terms: [[Groupprops:Normal subgroup]], [[Groupprops:2-subnormal subgroup]], [[Groupprops:3-subnormal subgroup]], [[Groupprops:Ascendant subgroup]], [[Groupprops:Descendant subgroup]], [[Groupprops:Serial subgroup]], [[Groupprops:Subnormal series]], [[Groupprops:Normal series]]</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>Related terms: [[Groupprops:<ins style="font-weight: bold; text-decoration: none;">Normal subgroup|</ins>Normal subgroup]], [[Groupprops:<ins style="font-weight: bold; text-decoration: none;">2-subnormal subgroup|</ins>2-subnormal subgroup]], [[Groupprops:<ins style="font-weight: bold; text-decoration: none;">3-subnormal subgroup|</ins>3-subnormal subgroup]], [[Groupprops:Ascendant <ins style="font-weight: bold; text-decoration: none;">subgroup|ascendant </ins>subgroup]], [[Groupprops:Descendant <ins style="font-weight: bold; text-decoration: none;">subgroup|descendant </ins>subgroup]], [[Groupprops:Serial <ins style="font-weight: bold; text-decoration: none;">subgroup|serial </ins>subgroup]], [[Groupprops:Subnormal <ins style="font-weight: bold; text-decoration: none;">series|subnormal </ins>series]], [[Groupprops:Normal <ins style="font-weight: bold; text-decoration: none;">series|normal </ins>series]]</div></td></tr> </table>

Vipul https://subwiki.org/w/index.php?title=Subnormal_subgroup&diff=226&oldid=prev 2008-11-08T15:13:04Z

<p>New page: &#039;&#039;&#039;Subnormal subgroup&#039;&#039;&#039;: A subgroup of a group such that there is an ascending chain of subgroups, starting from that subgroup to the whole group, with each member normal in the next. Suc...</p> <p><b>New page</b></p><div>&#039;&#039;&#039;Subnormal subgroup&#039;&#039;&#039;: A subgroup of a group such that there is an ascending chain of subgroups, starting from that subgroup to the whole group, with each member normal in the next. Such an ascending chain is termed a subnormal series.<br /> <br /> A &lt;math&gt;k&lt;/math&gt;-subnormal subgroup is a subgroup for which there exists a subnormal series of length at most &lt;math&gt;k&lt;/math&gt;. Particular examples are &lt;math&gt;k = 1&lt;/math&gt; (normal subgroup), &lt;math&gt;k = 2&lt;/math&gt; (2-subnormal subgroup), &lt;math&gt;k = 3&lt;/math&gt; (3-subnormal subgroup).<br /> <br /> Primary subject wiki entry: [[Groupprops:Subnormal subgroup]]<br /> <br /> Related terms: [[Groupprops:Normal subgroup]], [[Groupprops:2-subnormal subgroup]], [[Groupprops:3-subnormal subgroup]], [[Groupprops:Ascendant subgroup]], [[Groupprops:Descendant subgroup]], [[Groupprops:Serial subgroup]], [[Groupprops:Subnormal series]], [[Groupprops:Normal series]]</div>

Vipul