Posts Tagged 'Group Theory'

The Klein 4-Group

What is the common factor linking book-flips, solitaire, twelve-tone music and the solution of quartic equations?   Answer: {K_4}.

Symmetries of a Book — or a Brick

The four symmetric configurations of a book under 3D rotations.}

The four symmetric configurations of a book under 3D rotations.}

Continue reading ‘The Klein 4-Group’

The Langlands Program

An ambitious programme to unify disparate areas of mathematics was set out some fifty years ago by Robert Langlands of the Institute for Advanced Study in Princeton. The “Langlands Program” (LP) is a set of deep conjectures that attempt to build bridges between certain algebraic and analytical objects.

Canadian mathematician Robert Langlands, who formulated a series of far-reaching conjectures.

Canadian mathematician Robert Langlands, who formulated a series of far-reaching conjectures [image from Wikimedia Commons].

Continue reading ‘The Langlands Program’

Speed Cubing & Group Theory

The article in this week’s That’s Maths column in the Irish Times ( TM038 ) is about Rubik’s Cube and the Group Theory that underlies its solution.

Rubik's Cube, invented in 1974 by Hungarian professor of architecture Ernő Rubik.

Rubik’s Cube, invented in 1974 by Hungarian professor of architecture Ernő Rubik.

Continue reading ‘Speed Cubing & Group Theory’


Last 50 Posts

Categories