I have been asked by Cynthia Lehman and her colleagues to give a talk at George Mason University on the origins and early developments of Muted Group Theory
. It is immensely encouraging to any academic to find early work still alive and provocative so many decades after its introduction.
Muted group theory
as originated dealt with spoken and written language, this paper uses a review of recent literature (i.e.
Rose incorporates cognitive, behavioral, and social resources along with small group theory
into one model and presents a general overview of group work and related issues.
The text integrates perspectives of neoclassical economics, interest group theory
, social choice theory, and game theory, as well as concepts from Austrian economics, behavioral economics, and quantitative methods.
Moynahan (history, Bard College) highlights the influence of the Marburg School's Hermann Cohen and the 18th century mathematician Gottfried Liebniz and uses those influences as a means of understanding how Cassirer and the Marburg school sought to transform the philosophical project of Immanuel Kant in order to investigate the leading edge of contemporary science (particularly in fields such as group theory
and logic), radically recast the problem of appearance and reality, and to construct a basis for the political definition of rights and democracy.
and Hopf algebra; lectures for physicists.
Roberts, a journalist, details how this mathematical prodigy's work on the principles of symmetry and group theory
defended "visual mathematics" during the 1940s, when a group known as the Bourbakis asserted geometry's irrelevance.
Among his topics are mathematical thinking, algebra, calculus, differential equations, group theory
, vector analysis, and complex variables.
The topics include large transitive groups with many elements having fixed points, threads through group theory
, a p-group with no normal large abelian subgroup, commutators with wreath products, problems in character theory, lifting theorems and applications to group algebras, and character degrees of normally monomial maximal class 5-groups.
The equation ultimately yielded to group theory
, which Livio calls the "language of symmetry," Group theory
was developed by two 19th-century mathematicians, Niels Henrik Abel and Evariste Galois, both of whom managed their achievements during tragically short lives, Abel died of tuberculosis at 26 and Galois was killed in a duel at age 20, Livio devotes special attention to Galois, whose proof would create a new branch of algebra, The author also delves deep into groups and permutations, and describes how symmetry applies to fields as diverse as physics and psychology.