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Graham Bell Island

Graham Bell Island is an island in the Franz Josef Archipelago in the Arctic Ocean, is administratively part of Arkhangelsk Oblast, Russia. Graham Bell Island is one of the largest islands of the group, it lies east of Wilczek Land, separated from it by a narrow sound known as Morgan Sound. It is the easternmost island of Franz Josef Land. Cape Kohlsaat, the easternmost point of the archipelago at 81°14′N, 65°10′E, lies on Graham Bell Island's eastern shore. Cape Kohlsaat marks the northwestern-most corner of the Kara Sea and is a significant geographical landmark, and it is glacierized. The highest point of Graham Bell Island, 509 m, is the summit of Kupol Vetrenyy "Windy Dome", a large ice dome covering the western part of the island; this island was named after inventor Alexander Graham Bell. Graham Bell Island should not be confused with the smaller Bell Island, part of the Franz Josef Archipelago and which named after the shape, not the person. Graham Bell Island is home to a Cold War outpost and to the airfield Greem Bell on the Northeastern end of the island.

It is the largest airfield in the archipelago. It has a runway 2,100 m long. Russian cargo and fighter aircraft have landed here since the 1950s; the runway was usable only in the 8 months with sufficiently frozen ground. Before it was shut down it was used for tourist helicopter trips around the Russian arctic as a stopover and refueling base; the base was shut down in 1994. It was subsequently closed to normal visitors. In 2012, the Russian Air Force decided to reopen Graham Bell Airfield as part of a series of reopenings of air bases in the Arctic. Graham Bell Island's northern shore is fringed by clusters of small islets. Ostrov Trëkhluchevoy – lies off its western shore at 80.9517°N 63.0792°E / 80.9517. Ostrov Udachnyy – is part of a cluster of islets located along the NW shores 81.1417°N 64.1458°E / 81.1417. Graham-Bell Island. Graham-Bell airfield. Media related to Graham Bell Island at Wikimedia Commons

Center (group theory)

In abstract algebra, the center of a group, G, is the set of elements that commute with every element of G. It is denoted Z, from German Zentrum. In set-builder notation, Z =; the center is a normal subgroup, Z ⊲ G. As a subgroup, it is always characteristic, but is not fully characteristic; the quotient group, G / Z, is isomorphic to Inn. A group G is abelian if and only if Z = G. At the other extreme, a group is said to be centerless; the elements of the center are sometimes called central. The center of G is always a subgroup of G. In particular: Z contains the identity element of G, because it commutes with every element of g, by definition: eg = g = ge, where e is the identity. Furthermore, the center of G is always a normal subgroup of G. Since all elements of Z commute, it is closed under conjugation. By definition, the center is the set of elements for which the conjugacy class of each element is the element itself; the center is the intersection of all the centralizers of each element of G.

As centralizers are subgroups, this again shows. Consider the map, f: G → Aut, from G to the automorphism group of G defined by f = ϕg, where ϕg is the automorphism of G defined by f = ϕg = ghg−1; the function, f is a group homomorphism, its kernel is the center of G, its image is called the inner automorphism group of G, denoted Inn. By the first isomorphism theorem we get; the cokernel of this map is the group Out of outer automorphisms, these form the exact sequence 1 ⟶ Z ⟶ G ⟶ Aut ⟶ Out ⟶ 1. Quotienting out by the center of a group yields a sequence of groups called the upper central series: ⟶ ⟶ ⟶ ⋯The kernel of the map, G → Gi is the ith center of G, is denoted Zi. Concretely, the -st center are the terms that commute with all elements up to an element of the ith center. Following this definition, one can define the 0th center of a group to be the identity subgroup; this can be continued to transfinite ordinals by transfinite induction. The ascending chain of subgroups 1 ≤. For a centerless group, all higher centers are zero, the case Z0 = Z1 of stabilization.

By Grün's lemma, the quotient of a perfect group by its center is centerless, hence all higher centers equal the center. This is a case of stabilization at Z1 = Z2. Center center Centralizer and normalizer Conjugacy class Fraleigh, John B.. A First Course in Abstract Algebra. Pearson. ISBN 978-1-292-02496-7. Hazewinkel, Michiel, ed. "Centre of a group", Encyclopedia of Mathematics, Springer Science+Business Media B. V. / Kluwer Academic Publishers, ISBN 978-1-55608-010-4

Bicester Military Railway

The Bicester Military Railway is a railway in Oxfordshire, England belonging to the Ministry of Defence. It links military depots at Piddington and Graven Hill with the Oxford to Bicester Line; the Bicester Military Railway was built in 1942 within the Bicester Central Ordnance Depot and was used extensively in the Second World War in the preparations for D-Day. The Prime Minister Harold Wilson visited the BMR in mid-1965 prior to a government spending review. On his orders it was spared from the railway cutbacks that were left over from Lord Beeching's railway review of the early 1960s.. The BMR has about 40 miles of standard gauge track in use; the BMR is the main base for a unit of the Royal Logistic Corps. Before 1999, 275 Railway Squadron was a stand-alone Squadron. Other RLC Regiments refer to the squadron colloquially as the Railway Children; the Sub Unit recruits from the railway industry. Every soldier in the unit is a tradesman, able to drive a locomotive, operate railway signals, do permanent way work.

The unit's regular sister unit was 79 Railway Squadron and sometimes undertakes permanent way work with the Royal Engineers unit 507 STRE. 275 Railway Squadron's now defunct insignia is a cross section of flat bottom rail in a blue diamond. This dates back to unit's involvement with the Longmoor Military Railway. Lawton, E. R.. W.. The Bicester Military Railway. Oxford Publishing Co. ISBN 0-86093-467-5

Smith Farm

Smith Farm or Smith Farmhouse or variations may refer to: Sylvester Smith Farmstead, Arkansas, listed on the National Register of Historic Places in Izard County, Arkansas Smith Farm, listed on the National Register of Historic Places in Hendricks County, Indiana Samuel G. Smith Farm, Indiana, listed on the National Register of Historic Places in Wayne County, Indiana Smith Farmhouse, listed on the National Register of Historic Places in Calhoun County, Iowa Smith–Lyon Farmhouse, Massachusetts, listed on the NRHP in Massachusetts Orie J. Smith Black and White Stock Farm Historic District, Missouri, listed on the National Register of Historic Places listings in Adair County, Missouri Smith–Mason Farm, New Hampshire, listed on the National Register of Historic Places in Cheshire County, New Hampshire Henry Smith Farmstead, Huntington Station, New York, listed on the National Register of Historic Places in Huntington, New York Henry Tunis Smith Farm, New York, listed on the National Register of Historic Places in Rensselaer County, New York Smith Family Farm, the boyhood home of Joseph Smith, founder of Mormonism, site of early historic events in the religion.

Edward Smith Jr. Farm, Washington Court House, listed on the National Register of Historic Places in Fayette County, Ohio Henry Smith Farm, Pennsylvania, listed on the National Register of Historic Places in Dauphin County, Pennsylvania Smith Family Farmstead, New Hope, listed on the National Register of Historic Places in Bucks County, Pennsylvania Smith–Gardiner–Norman Farm Historic District, Rhode Island, listed on the NRHP in Rhode Island Jessie Smith Farmstead, South Dakota, listed on the National Register of Historic Places in Yankton County, South Dakota Robert Andrew Smith Farm, Tennessee, listed on the National Register of Historic Places in Rutherford County, Tennessee Smith Farmhouse, listed on the National Register of Historic Places in Davidson County, Tennessee Samuel Gilbert Smith Farmstead, Vermont, listed on the National Register of Historic Places in Windsor County, Vermont Peter Smith Farm–Donation Land Claim, Washington, listed on the National Register of Historic Places in Pierce County, Washington Watters Smith Farm on Duck Creek, Lost Creek, West Virginia, listed on the NRHP in West Virginia Terwilliger–Smith Farm, New York, listed on the NRHP in Ulster County, New York

Rocky Mount Sports Complex

The Rocky Mount Sports Complex is a large-scale sports complex located in Rocky Mount, North Carolina. A division of the City of Rocky Mount Parks and Recreation Department, the Rocky Mount Sports Complex provides facilities for city recreational programs such as baseball, soccer, field hockey, football; the 143-acre park on Centura Blvd. Includes: 6 Youth Baseball Fields 4 Softball Fields A Championship Baseball Field 2 Basketball Courts Restrooms/Concession Buildings A Baseball Training Grounds Walking Trails Playgrounds and a Sprayground 8 Championship Soccer Fields The Rocky Mount Sports Complex is one of the largest sports complexes on the eastern seaboard. During weekdays the fields will be used by Parks and Recreation Department city Athletics Programs. On weekends the Sports Complex will host tournament action, bringing some of the best local and national sports teams to the area. Adjacent to the Rocky Mount Sports Complex sits the 5,000-seat multi-use Rocky Mount Athletic Complex; the Football Stadium is called home to the Rocky Mount High School Football Team.

Div. II Elizabeth City State University plays football annually in the Down East Viking Classic at the facility. Official website