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...

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...

theorem (geometric group theory) Focal subgroup theorem (abstract algebra) Frobenius determinant theorem (group theory) Frobenius reciprocity theorem...

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...

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...

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...

2.  A focal curve, surface and so on is the locus of the focal points of a family of linear subspaces. (Semple & Roth 1949, p.252) focus A focal point...

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

electrical field) and Lagrangian orbits. Group theory: Lagrange's theorem of groups (a subgroup's order must always divide the order of the group exactly) represents...