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  "body": "\n## Definition\n\nLet $L/K$ be a [[field extension|0WQ1A8SHTZ]].\nAn intermediate field of $L/K$ is a [[subfield|07QY5RPFBR]] $E$ of $L$ with $K \\subseteq E$.\n\n## Remarks\n\nThen $L/E$ and $E/K$ are field extensions, and one calls $K \\subseteq E \\subseteq L$ a tower of fields.\nThe fields $K$ and $L$ are intermediate fields of $L/K$.\nFor example, $\\mathbb{Q}(\\sqrt{2})$ is an intermediate field of $\\mathbb{R}/\\mathbb{Q}$.\nThe [[fundamental theorem of Galois theory|0T1Q8D0FW8]] describes the intermediate fields of a Galois extension.\n\n## Explanations\n\n### L1 human\n\nAn intermediate field sits between the small field and the big field.\nGalois theory gives a way to list all such fields, by a correspondence with subgroups of a group.\n",
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