Hall subgroup

Related lectures (32)

Covers subgroups, generators, cyclic groups, and group morphisms in group theory.

Explores examples of group actions on sets, emphasizing the utility of group actions to understand groups.

Delves into the symmetries of regular polygons, including the dihedral group and left cosets in a finite group.

Demonstrates the existence of p-Sylow subgroups in any finite group using induction and the abelian case.

Introduces the theory of abelian groups, focusing on p-abelian groups and their structure.

Explores subsets, subgroups, actions, fixed points, stabilizers, orbits, and bijections in group theory.

Explores the properties and structure of Sylow subgroups in group theory, emphasizing a theorem-independent approach.

Covers the verification of constructions in the context of abelian groups and Sylow subgroups.

Covers Lagrange's theorem, group homomorphisms, congruence classes, and normal subgroups.

Introduces torsion and divisibility concepts in abelian groups to describe their structure.

Covers the concept of solvable groups and their decomposition into abelian pieces, exploring various properties and examples.

Covers homomorphisms between affine varieties, birational maps, regular groups, and connectedness.

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