https://galois.subwiki.org/w/index.php?action=history&feed=atom&title=Galois_group 2026-09-01T20:54:59Z Revision history for this page on the wiki MediaWiki 1.41.2 https://galois.subwiki.org/w/index.php?title=Galois_group&diff=83&oldid=prev 2009-05-15T01:28:50Z

<p>Created page with &#039;==Definition== ===For a field extension=== The &#039;&#039;&#039;Galois group&#039;&#039;&#039; of a <a href="/w/index.php?title=Field_extension&amp;action=edit&amp;redlink=1" class="new" title="Field extension (page does not exist)">field extension</a> is defined as the [[automorphism group of a field extension|automorphism group of the...&#039;</p> <p><b>New page</b></p><div>==Definition==<br /> <br /> ===For a field extension===<br /> <br /> The &#039;&#039;&#039;Galois group&#039;&#039;&#039; of a [[field extension]] is defined as the [[automorphism group of a field extension|automorphism group of the field extension]].<br /> <br /> ===For a polynomial===<br /> <br /> The &#039;&#039;&#039;Galois group&#039;&#039;&#039; of a [[separable polynomial]] (or more generally, a polynomial all of whose irreducible factors are separable) is defined as the Galois group of the [[splitting field]] of that polynomial.</div>

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