Mathematicians often strive for a complete classification (or list) of a mathematical notion. In the context of finite groups, this aim leads to difficult mathematics. According to Lagrange's theorem, finite groups of order p, a prime number, are necessarily cyclic (abelian) groups Zp. Groups of order p2 can also be shown to be abelian, a statement which does not generalize to order p3, as the non-abelian group D4 of order 8 = 23 above shows. Computer algebra systems can be used to list small groups, but there is no classification of all finite groups.q["] An intermediate step is the classification of finite simple groups.r["] A nontrivial group is called simple if its only normal subgroups are the trivial group and the group itself.s["] The JordanHolder theorem exhibits finite simple groups as the building blocks for all finite groups. Listing all finite simple groups was a major achievement in contemporary group theory. 1998 Fields Medal winner Richard Borcherds succeeded in proving the monstrous moonshine conjectures, a surprising and deep relation between the largest finite simple sporadic groupthe "monster group"and certain modular functions, a piece of classical complex analysis, and string theory, a theory supposed to unify the description of many physical phenomena.
What can be used to classify small groups even though there is no classification of all finite groups?
Computer algebra systems

In 2014, the league announced the granting of a new franchise to former Motley Crue frontman Vince Neil, previously part-owner of the Jacksonville Sharks. That franchise, the Las Vegas Outlaws, were originally to play in Las Vegas at the MGM Grand Garden Arena in 2015, but instead played their home games at the Thomas & Mack Center, previous home to the Las Vegas Sting and Las Vegas Gladiators. After 20 years as a familiar name to the league, an AFL mainstay, the Iowa Barnstormers, departed the league to join the Indoor Football League. The San Antonio Talons folded on October 13, 2014, after the league (which owned the team) failed to find a new owner. On November 16, 2014, despite a successful season record-wise, the Pittsburgh Power became the second team to cease operations after the 2014 season. This resulted from poor attendance. It was later announced by the league that the Power would go dormant for 2015 and were looking for new ownership.
What band was Vince Neil a part of?
Motley Crue

The first major model for communication was introduced by Claude Shannon and Warren Weaver for Bell Laboratories in 1949 The original model was designed to mirror the functioning of radio and telephone technologies. Their initial model consisted of three primary parts: sender, channel, and receiver. The sender was the part of a telephone a person spoke into, the channel was the telephone itself, and the receiver was the part of the phone where one could hear the other person. Shannon and Weaver also recognized that often there is static that interferes with one listening to a telephone conversation, which they deemed noise.
What was the receiver in the initial model?
the part of the phone where one could hear the other person