algebra, the focal subgroup theorem describes the fusion of elements in a Sylow subgroup of a finite group. The focal subgroup theorem was introduced...

detailed information about the number of subgroups of fixed order that a given finite group contains. The Sylow theorems form a fundamental part of finite group...

at Focal subgroup theorem: Subgroups and elaborated at focal subgroup theorem. There are three important normal subgroups of prime power index, each being...

(number theory) Focal subgroup theorem (abstract algebra) Folk theorem (game theory) Foster's theorem (statistics) Four color theorem (graph theory) Four...

and a subgroup H of finite index, a group homomorphism from G to the abelianization of H. It can be used in conjunction with the Sylow theorems to obtain...

is a power of p. Given a finite group G, the Sylow theorems guarantee the existence of a subgroup of G of order pn for every prime power pn that divides...

kernels of the reflection maps are important objects of study; see focal subgroup theorem. The category of groups is a coreflective subcategory of the category...

duality. The dual group V^ to V is again a real vector space, and its closed subgroup L^ dual to L turns out to be a lattice in V^. Therefore, L^ is the natural...

theorem, stemming from this work, shows that if a scene consisting of five points is viewed from two cameras with unknown positions but known focal lengths...

early algebraic symbolism in the Maghreb, the Thabit number and Thābit theorem by Thābit ibn Qurra, the discovery of several new trigonometric identities...