Category
page 1Theorems in group theory
fundamental theorem of Galois theory
theorem that describes the structure of certain types of field extensions
Maschke's theorem
theorem that a representation of a finite group over a field with characteristic not dividing the order of the group decomposes as a direct sum of irreducible representations
Cartan–Dieudonné theorem
Peter–Weyl theorem
theorem
Tits alternative
important theorem about the structure of finitely generated linear groups
Nielsen–Schreier theorem
theorem that every subgroup of a free group is itself free
Krull–Schmidt theorem
mathematical theorem
Gromov's theorem on groups of polynomial growth
theorem in geometric group theory
Schur–Zassenhaus theorem
theorem in group theory
closed subgroup theorem
theorem stating that, if H is a closed subgroup of a Lie group G, then H is an embedded Lie group with the relative topology being the same as the group topology
Jordan–Schur theorem
mathematical theorem on finite linear groups