alternating group

The center of the alternating group A is trivial for n 4.

Some of the small alternating groups also have exceptional properties.

These were the second family of finite simple groups, after the alternating groups.

An alpha helix is created by alternating groups of atoms.

Note that other presentations are possible, for instance as an alternating group (for I).

Hilbert played a part in solving the problem for all symmetric and alternating groups.

Alternating groups sometimes behave as if they were groups of Lie type over the field with one element.

It is isomorphic to the abstract alternating group, A.

The alternating group has index 2 in the symmetric group and thus is normal.

The representation theory of the alternating groups is similar, though the sign representation disappears.

Solutions for alternating groups must be handled differently for odd and even degrees.

The largest alternating group represented is A.

And in fact, the smallest simple non-cyclic group is A, the alternating group over 5 elements.

Organized in alternating groups of fine and decorative arts, it nearly covers the cultural glove, with mostly outstanding examples.

There are coincidences between alternating groups and small groups of Lie type:

All perfect alternating groups have perfect double covers.

For a concrete example, the alternating group on four points, , is solvable but not supersolvable.

The Schur covers of the symmetric and alternating groups were classified in .

Verses were presented by alternating groups.

The analogous notion for the symmetric group is the alternating group of even permutations.

A well-known example is the alternating group, a subgroup of the symmetric group on n letters.

In mathematics, an alternating group is the group of even permutations of a finite set.

The alternating groups for n 5 have only one one-dimensional irreducible representation, the trivial representation.

"Willibrordus-Brauverein" officials put together the procession, forming several dozen alternating groups of musicians (/bands) and pilgrims.

The commutator subgroup of the alternating group A is the Klein four group.