This set inherits a group operation (sometimes called coset multiplication, or coset addition) from the original group G: (gN) (hN) = (gh)N for all g and h in G. This definition is motivated by the idea (itself an instance of general structural considerations outlined above) that the map G G / N that associates to any element g its coset gN be a group homomorphism, or by general abstract considerations called universal properties. The coset eN = N serves as the identity in this group, and the inverse of gN in the quotient group is (gN)1 = (g1)N.e["]
What group does the inverse of gN include?
quotient group

"Superstorm Sandy" struck Atlantic City on October 29, 2012, causing flooding and power-outages but left minimal damage to any of the tourist areas including the Boardwalk and casino resorts, despite widespread belief that the city's boardwalk had been destroyed. The source of the misinformation was a widely circulated photograph of a damaged section of the Boardwalk that was slated for repairs, prior to the storm, and incorrect news reports at the time of the disaster. The storm produced an all-time record low barometric pressure reading of 943 mb (27.85") for not only Atlantic City, but the state of New Jersey.
When did "Superstorm Sandy" strike Atlantic City?
October 29, 2012

With the decline of the Roman Empire, Alsace became the territory of the Germanic Alemanni. The Alemanni were agricultural people, and their Germanic language formed the basis of modern-day dialects spoken along the Upper Rhine (Alsatian, Alemannian, Swabian, Swiss). Clovis and the Franks defeated the Alemanni during the 5th century AD, culminating with the Battle of Tolbiac, and Alsace became part of the Kingdom of Austrasia. Under Clovis' Merovingian successors the inhabitants were Christianized. Alsace remained under Frankish control until the Frankish realm, following the Oaths of Strasbourg of 842, was formally dissolved in 843 at the Treaty of Verdun; the grandsons of Charlemagne divided the realm into three parts. Alsace formed part of the Middle Francia, which was ruled by the youngest grandson Lothar I. Lothar died early in 855 and his realm was divided into three parts. The part known as Lotharingia, or Lorraine, was given to Lothar's son. The rest was shared between Lothar's brothers Charles the Bald (ruler of the West Frankish realm) and Louis the German (ruler of the East Frankish realm). The Kingdom of Lotharingia was short-lived, however, becoming the stem duchy of Lorraine in Eastern Francia after the Treaty of Ribemont in 880. Alsace was united with the other Alemanni east of the Rhine into the stem duchy of Swabia.
Which three territories make up the Upper Rhine?
Alsatian, Alemannian, Swabian, Swiss