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"(algebra) Given a field k of characteristic ≠ 2, the abelian group of equivalence classes of nondegenerate symmetric bilinear forms over k (where the equivalence relation is such that two forms are equivalent if each is obtainable from the other by adding a metabolic quadratic space), with the group operation corresponding to that of orthogonal direct sum of forms;\n"
],
"tags": [
"broadly"
],
"topics": [
"algebra",
"category-theory",
"computing",
"engineering",
"mathematics",
"natural-sciences",
"physical-sciences",
"sciences"
]
}
],
"translations": [
{
"code": "fr",
"lang": "French",
"sense": "group of equivalence classes found within a field, variety or category",
"tags": [
"masculine"
],
"word": "groupe de Witt"
},
{
"code": "de",
"lang": "German",
"sense": "group of equivalence classes found within a field, variety or category",
"tags": [
"feminine"
],
"word": "Witt-Gruppe"
}
],
"wikipedia": [
"Ernst Witt"
],
"word": "Witt group"
}
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