mathematics, a normal p-complement of a finite group for a prime p is a normal subgroup of order coprime to p and index a power of p. In other words...

symmetrical: if K is a complement of H, then H is a complement of K. Neither H nor K need be a normal subgroup of G. Complements need not exist, and if...

so that M is a (p + q) × (p + q) matrix. If D is invertible, then the Schur complement of the block D of the matrix M is the p × p matrix defined by...

as the exponent of p increases. Most groups of small order have a Sylow p subgroup P with a normal p-complement N for some prime p dividing the order...

every p-soluble group is p-constrained. A group is p-nilpotent if and only if it has a normal p-complement, which is just its p′-core. Just as normal cores...

Two's complement is the most common method of representing signed (positive, negative, and zero) integers on computers, and more generally, fixed point...

X is called a Frobenius complement. The identity element together with all elements not in any conjugate of H form a normal subgroup called the Frobenius...

its Sylow 2-subgroup provide a counter-example for various normal p-complement theorems for p = 2. G = PSL(2, 7) acts via linear fractional transformation...

In mathematics and computing, the method of complements is a technique to encode a symmetric range of positive and negative integers in a way that they...

 145–146. ISBN 0-8218-1967-4. Theorem 9.4.1., p. 145, at Google Books Thompson, J.G. (1959). "Normal p-complements for finite groups". Mathematische Zeitschrift...

The complement system, also known as complement cascade, is a part of the humoral, innate immune system and enhances (complements) the ability of antibodies...

\left({\frac {x-\mu }{\sigma {\sqrt {2}}}}\right)\right]\,.} The complement of the standard normal cumulative distribution function, Q ( x ) = 1 − Φ ( x ) {\textstyle...

representations, where he helped to develop some of the foundational theory, complementing, and sometimes competing with, the work of Ferdinand Georg Frobenius...

In the mathematical field of graph theory, the complement or inverse of a graph G is a graph H on the same vertices such that two distinct vertices of...

Eigenvectors of a normal operator corresponding to different eigenvalues are orthogonal, and a normal operator stabilizes the orthogonal complement of each of...

University Press, ISBN 978-0-521-45716-3, MR 1311244 Glauberman normal p-complement theorem Curriculum vitae, retrieved 2013-07-21. George Glauberman...

theory, a complemented lattice is a bounded lattice (with least element 0 and greatest element 1), in which every element a has a complement, i.e. an element...

be expressed in the canonical disjunctive normal form (CDNF), minterm canonical form, or Sum of Products (SoP or SOP) as a disjunction (OR) of minterms...

normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization of the one-dimensional (univariate) normal distribution...

production numbers" had been replaced by songs that complemented the emotional content of the book. Next to Normal began previews on Broadway at the Booth Theatre...

Thompson subgroup and denoted by J ( P ) {\displaystyle J(P)} . Glauberman normal p-complement theorem ZJ theorem Puig subgroup, a subgroup analogous to...

Complement deficiency is an immunodeficiency of absent or suboptimal functioning of one of the complement system proteins. Because of redundancies in...

logical complement, is an operation that takes a proposition P {\displaystyle P} to another proposition "not P {\displaystyle P} ", written ¬ P {\displaystyle...

of the theorem is that any normal Hall subgroup N {\displaystyle N} of a finite group G {\displaystyle G} has a complement in G {\displaystyle G} . Moreover...

homologous pairs within each of the 23 homologous pairs, providing a full complement of 46 chromosomes. This total number of individual chromosomes (counting...

if the complement of X has measure 0. If x is normal in base b and a ≠ 0 is a rational number, then x ⋅ a {\displaystyle x\cdot a} is also normal in base...

Designer, Edgar Schmued and the P-51, p. 61. The comparison was between wind-tunnel tests of full-scale models, with normal heating (thermic engine) and...

calculated by its complement as f ( k , n , p ) = f ( n − k , n , 1 − p ) . {\displaystyle f(k,n,p)=f(n-k,n,1-p).} Looking at the expression f(k, n, p) as a function...

acquired, potentially life-threatening disease of the blood characterized by complement-induced intravascular hemolytic anemia. Lead poisoning resulting from...

probability theory, the complement of any event A is the event [not A], i.e. the event that A does not occur. The event A and its complement [not A] are mutually...