In mathematics, and especially in homotopy theory, a crossed module consists of groups and , where acts on by automorphisms (which we will write on the left, , and a homomorphism of groups
that is equivariant with respect to the conjugation action of on itself:
and also satisfies the so-called Peiffer identity:
In mathematics, and especially in homotopy theory, a crossedmodule consists of groups G {\displaystyle G} and H {\displaystyle H} , where G {\displaystyle...
free module is a module that has a basis, that is, a generating set consisting of linearly independent elements. Every vector space is a free module, but...
connects the large solar panels and radiators to the pressurized modules. The pressurized modules are specialized for research, habitation, storage, spacecraft...
n\geq 3(E)} but for n = 2 {\displaystyle n=2} form the top group of a crossedmodule with bottom group π 1 ( A ) . {\displaystyle \pi _{1}(A).} There is...
\mathbb {Z} _{4})\cong \mathbb {Z} /2} . Because this is not a trivial crossed-module, it's postnikov invariant is 1 {\displaystyle 1} , giving a homotopy...
method of simplicial approximation. It contains a lot of material on crossedmodules. Fraleigh, John B. (1976), A First Course In Abstract Algebra (2nd ed...
Module file (MOD music, tracker music) is a family of music file formats originating from the MOD file format on Amiga systems used in the late 1980s....
A SIMM (single in-line memory module) is a type of memory module used in computers from the early 1980s to the early 2000s. It is a printed circuit board...
A power module or power electronic module provides the physical containment for several power components, usually power semiconductor devices. These power...
runtime clients. Independent modules provide separate functionality in any or all of the platform components. Ignition SCADA modules provide features such as:...
Pygame is a cross-platform set of Python modules designed for writing video games. It includes computer graphics and sound libraries designed to be used...
described in the equations above) is not zero, the shafts are crossed. For shafts crossed at right angles, the helix angles are of the same hand because...
on standard practice. A crossed helical gear is a gear that operate on non-intersecting, non-parallel axes. The term crossed helical gears has superseded...
effect). A thermoelectric module is made from three components; the conductors, legs, and the substrate, and many of these modules are connected electrically...
whose quotient carries an invariant finite Borel measure Lattice (module), a module over a ring that is embedded in a vector space over a field Lattice...
a module (0.33 m) tall. The width of these letters is three-tenths of a module (0.30 m). The conjunction E has a height of three-tenths of a module (0...
11th human being to walk on the Moon. As he re-entered the Apollo Lunar Module after Harrison Schmitt on their third and final lunar excursion, he remains...
to optimize across functions and modules. Target-independent optimizations supported by vbcc include: cross-module function inlining partial inlining...
zero algebra over a free R-module allows extending this theory as a Gröbner basis theory for submodules of a free module. This extension allows, for...
homotopical excision theorem, involving induced modules for n > 2 {\displaystyle n>2} (crossedmodules if n = 2 {\displaystyle n=2} ), which itself is...
actions of a group G in an associated G-module M to elucidate the properties of the group. By treating the G-module as a kind of topological space with elements...
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