A group is of characteristic 2 type if the generalized Fitting subgroup F *( Y ) of every 2-local subgroup Y is a 2-group.

For example, the Fitting lemma shows that the endomorphism ring of a finite length indecomposable module is a local ring, so that the strong Krull-Schmidt theorem holds and the category of finite length modules is a Krull-Schmidt category.

Fitting their generally defensive nature, Time Lord weapons technology is rarely seen, other than the staser hand weapons used by the Guard within the Capitol.

( Fitting a standard-spacing header to stripboard is tricky, because you have to cut the tracks between two holes rather than on a hole.

Warington Baden-Powell is also the author of Canoe Travelling: Log of a Cruise on the Baltic, and Practical Hints on Building and Fitting Canoes London, Smith, Elder, 1871.

Fitting modern tires is also a suggestion to improve the handling.

The Fitting lemma, named after the mathematician Hans Fitting, is a basic statement in abstract algebra.

Still more information about endomorphisms of finite-length indecomposables is provided by the Fitting lemma.

The p-core of G is often denoted, and in particular appears in one of the definitions of the Fitting subgroup of a finite group.

If the number of generators, r, is less than or equal to the number of relations, s, then we consider the ideal generated by all r by r minors of the matrix ; this is the zero ' th Fitting ideal or Alexander ideal and does not depend on choice of presentation matrix.

In mathematics, especially in the area of algebra known as group theory, the Fitting subgroup F of a finite group G, named after Hans Fitting, is the unique largest normal nilpotent subgroup of G. Intuitively, it represents the smallest subgroup which " controls " the structure of G when G is solvable.

When G is not solvable, a similar role is played by the generalized Fitting subgroup F < sup >*</ sup >, which is generated by the Fitting subgroup and the components of G.

Fitting him with glasses, however, only interfered with his hitting, as Waner now had to contend with a small spinning projectile rather than the fuzzy grapefruit-sized object he had been hitting before.

One of the apprenticeship courses, Construction Plant Fitting, has since been moved to a temporary home in Baldoyle, near the FÁS Baldoyle Training Centre.

If M / Z ( H ) is a product of cyclic groups then M must be in the Fitting subgroup.

So if H contains the Fitting subgroup and all normal semisimple subgroups, then M / Z ( H ) must be trivial, so H contains its own centralizer.

Fitting a human requires larger-bore scanners, which make higher fields strengths harder to achieve, especially if the field has to be uniform ; it also requires either internal contrast such as BOLD or a non-toxic external contrast agent unlike iron oxide.

Fitting these kits allows the outhaul and cunningham to be adjusted more easily when under sail via cleats fitted to the deck so that the lines are always available to the sailor.

Fitting a straight line through the observed data, the slope of the best fit line will be ( well losses ) and the intercept of this line with will be ( aquifer losses ).

Fitting the correct kit to a guitar already fitted with a compatible tremolo may be quite straightforward ; On others a high level of woodworking skill may be required, or it may not be possible at all.

For an arbitrary ( not necessarily finite ) group G, the Fitting subgroup is defined to be the subgroup generated by the nilpotent normal subgroups of G. For infinite groups, the Fitting subgroup is not always nilpotent.

Similarly the Fitting subgroup of G / F ( G ) will be nontrivial if G is not itself nilpotent, giving rise to the concept of Fitting length.

The generalized Fitting subgroup can also be viewed as a generalized centralizer of chief factors.

The analysis of finite simple groups by means of the structure and embedding of the generalized Fitting subgroups of their maximal subgroups was originated by Helmut Bender and has come to be known as Bender's method.

* Frobenius groups whose Fitting subgroup has arbitrarily large nilpotency class were constructed by Ito: Let q be a prime power, d a positive integer, and p a prime divisor of q − 1 with d ≤ p. Fix some field F of order q and some element z of this field of order p. The Frobenius complement H is the cyclic subgroup generated by the diagonal matrix whose i, ith entry is z < sup > i </ sup >.

Fitting of a bespoke jacketThe word bespoke itself is derived from the verb to bespeak, to " speak for something ", in the specialised meaning " to give order for it to be made ".

" Fitting in with ease, already knowing many of the cast through previous visits and having co-starred with Stephen Tompkinson in Drop The Dead Donkey, she completed the final season.

If a simple group is not of Lie type over a field of given characteristic p, then the p-local subgroups usually have components in the generalized Fitting subgroup, though there are many exceptions for groups that have small rank, are defined over small fields, or are sporadic.

* Fitting, Peter, ( 1975 ) " Ubik and the Deconstruction of Bourgeois SF ", Science-Fiction Studies # 5, 2: 1, pp. 47 – 54.

Fitting his love for olden years, this kind of learned writing has been named Ander-Saxon after him.

Fitting in with these characteristics, most soap operas follow the lives of a group of characters who live or work in a particular place, or focus on a large extended family.

Fitting to the end of the decades-long reign and reputation of Rickover, his career concluded in both a battle with the defense establishment and a coming-to-terms with his own human limitations.

Works like Crivelli's Garden have clear links to the paintings by Carlo Crivelli in the National Gallery, but other works made at the time, like Joseph's Dream and The Fitting, also draw spatially and in their subject matter from Old Master works by artists such as Diego Velázquez.

Fitting the model of " independence " reduces the number of degrees of freedom by p = r + c − 1.

Fitting an aftermarket ( automotive ) | after market front mount intercooler to a car with a factory installed top mount.

; Fitting and assembling: Used by machinists, pipefitters, electricians, textile workers, handloaders, and piece workers, these benches usually have space for layout and built-in tools, jigs and measuring devices to facilitate the work.

Fitting a piggyback lens combination requires experience on the part of the lens fitter, and tolerance on the part of the keratoconic patient.

Fitting with this approach, Nurture kinship emphasizes that social relationships, and the cooperation that accompanies them, are commonly built upon emotional bonds and attachments.

Fitting for the subject, the anime features a large amount of music, a diverse set of characters, plenty of comedy, romance, and touches of drama and violence.

* Fitting, Melvin ; and Mendelsohn, R. L. ( 1998 ) First Order Modal Logic.

* Fitting of " Emergency Signal " notices on either side of the station to alert passengers of closed entrances.

The accounting procedures of the foundry bore a striking similarity to modern processes, with each of the three main operating departments-the Foundry Department which made cast iron parts, the Smithy Department which made wrought iron parts, and the Fitting Department which machined the parts and assembled them together-being operated as a separate profit centres.