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Konjektur Birch–Tate - Riwayat revisi
2026-09-16T00:53:40Z
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Maintenance script: Presentation V4: sitasi, referensi, Math, Wikimedia Commons, dan atribusi
2026-08-25T09:00:35Z
<p>Presentation V4: sitasi, referensi, Math, Wikimedia Commons, dan atribusi</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisi sebelumnya</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisi per 25 Agustus 2026 09.00</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l8">Baris 8:</td>
<td colspan="2" class="diff-lineno">Baris 8:</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>== Status ==</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>== Status ==</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;"><div>Perkembangan konjektur ini telah dibuat sebagai akibat hasil kerja [[teori Iwasawa]], dan khususnya "[[konjektur utama teori Iwasawa]]" yang menyatakan pembuktiannya.</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>Perkembangan konjektur ini telah dibuat sebagai akibat hasil kerja [[teori Iwasawa]], dan khususnya "[[konjektur utama teori Iwasawa]]" yang menyatakan pembuktiannya.</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><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;">== Referensi ==</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;"></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;">* J. T. Tate, ''Symbols in Arithmetic'', Actes, Congrès Intern. Math., Nice, 1970, Tome 1, Gauthier–Villars(1971), 201–211</del></div></td><td colspan="2" class="diff-side-added"></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>== Pranala luar ==</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>== Pranala luar ==</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;"><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"></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>== Sumber dan atribusi ==</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>== Sumber dan atribusi ==</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>Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Konjektur+Birch%E2%80%93Tate&oldid=22349164 Wikipedia bahasa Indonesia], revisi 22349164 (2022-12-17T19:38:50Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</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>Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Konjektur+Birch%E2%80%93Tate&oldid=22349164 Wikipedia bahasa Indonesia], revisi 22349164 (2022-12-17T19:38:50Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</div></td></tr>
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Maintenance script: Impor teks terkontrol dari Wikipedia bahasa Indonesia; revisi 22349164; atribusi sumber disertakan.
2026-08-25T08:28:00Z
<p>Impor teks terkontrol dari Wikipedia bahasa Indonesia; revisi 22349164; atribusi sumber disertakan.</p>
<p><b>Halaman baru</b></p><div>Dalam [[matematika]], khususnya dalam teori-K aljabar, '''konjektur Birch–Tate''' merupakan sebuah [[konjektur]] atau [[Dugaan (matematika)|dugaan]] yang diusulkan oleh dua ahli matematika bernama [[Bryan John Birch]] dan [[John Tate]].<br />
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== Pernyataan ==<br />
Dalam teori''-''K aljabar, [[Grup (matematika)|grup]] <math>K_2</math> didefinisikan sebagai pusat dari [[Grup Steinberg (Teori-K)|grup Steinberg]] dari [[gelanggang bilangan bulat]] dari [[medan bilangan]] <math>F</math>. <math>K_2</math> juga dikenal sebagai kernel jinak <math>F</math>. Konjektur Birch–Tate menghubungkan [[Tingkat (teori grup)|tingkat]] grup tersebut (bilangan unsurnya) ke nilai dari [[fungsi zeta Dedekind]] <math>\zeta_F</math>. Pernyataan yang lebih spesifiknya, misalkan <math>F</math> adalah [[medan bilangan real total]] dan misalkan <math>N</math> adalah bilangan asli terbesar sehingga [[Perluasan medan|perluasan]] <math>F</math> dengan akar persatuan ke-<math>N</math> memiliki sebuah [[Grup-P|grup-2]] [[Grup Abel elementer|Abel elementer]] sebagai [[grup Galois]]<nowiki/>nya. Maka konjektur Birch–Tate mengatakan bahwa<br />
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:<math>\#K_2 = |N\zeta_F(-1)|</math>.<br />
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== Status ==<br />
Perkembangan konjektur ini telah dibuat sebagai akibat hasil kerja [[teori Iwasawa]], dan khususnya "[[konjektur utama teori Iwasawa]]" yang menyatakan pembuktiannya.<br />
<br />
== Referensi ==<br />
<br />
* J. T. Tate, ''Symbols in Arithmetic'', Actes, Congrès Intern. Math., Nice, 1970, Tome 1, Gauthier–Villars(1971), 201–211<br />
<br />
== Pranala luar ==<br />
<br />
*<br />
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<br />
<br />
== Sumber dan atribusi ==<br />
<br />
Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Konjektur+Birch%E2%80%93Tate&oldid=22349164 Wikipedia bahasa Indonesia], revisi 22349164 (2022-12-17T19:38:50Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</div>
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