### Some articles on *group, automorphism group, automorphisms, automorphism*:

Binary Tetrahedral Group - Properties

... The binary tetrahedral

... The binary tetrahedral

**group**, denoted by 2T, fits into the short exact sequence This sequence does not split, meaning that 2T is not a semidirect product of {±1} by T ... The binary tetrahedral**group**is the covering**group**of the tetrahedral**group**... Thinking of the tetrahedral**group**as the alternating**group**on four letters, we thus have the binary tetrahedral**group**as the covering**group**, The center of 2T is the subgroup {±1} ...Automorphisms Of The Symmetric And Alternating Groups - Small

... For n = 1 and 2, A1 = A2 = 1 is trivial, so the

*n*- Alternating... For n = 1 and 2, A1 = A2 = 1 is trivial, so the

**automorphism group**is also trivial ... For n = 3, A3 = C3 = Z/3 is abelian (and cyclic) the**automorphism group**is GL(1, Z/3*) = C2, and the inner**automorphism group**is trivial (because it is abelian) ...Stable Curve

... a complete connected curve whose only singularities are ordinary double points and whose

... a complete connected curve whose only singularities are ordinary double points and whose

**automorphism group**is finite ... The condition that the**automorphism group**is finite can be replaced by the condition that it is not of arithmetic genus one and every non-singular rational component meets the ... curve is one satisfying similar conditions, except that the**automorphism group**is allowed to be reductive rather than finite (or equivalently its connected ...Dynkin Diagram - Automorphisms

... also have self-isomorphisms or "

... also have self-isomorphisms or "

**automorphisms**" ... Diagram**automorphisms**correspond to outer**automorphisms**of the Lie algebra, meaning that the outer**automorphism group**Out = Aut/Inn equals the**group**of diagram ... The diagrams that have non-trivial**automorphisms**are An, Dn, and E6 ...Automorphisms Of The Symmetric And Alternating Groups - The Exceptional Outer Automorphism of

... Ernst Witt found a copy of Aut(S6) in the Mathieu

*S*_{6}- Other Constructions... Ernst Witt found a copy of Aut(S6) in the Mathieu

**group**M12 (a subgroup T isomorphic to S6 and an element σ that normalizes T and acts by outer**automorphism**) ... Similarly to S6 acting on a set of 6 elements in 2 different ways (having an outer**automorphism**), M12 acts on a set of 12 elements in 2 different ways (has an ... The full**automorphism group**of A6 appears naturally as a maximal subgroup of the Mathieu**group**M12 in 2 ways, as either a subgroup fixing a division of the 12 points into a pair of 6-element sets, or as a subgroup ...### Famous quotes containing the word group:

“Once it was a boat, quite wooden

and with no business, no salt water under it

and in need of some paint. It was no more

than a *group* of boards. But you hoisted her, rigged her.

She’s been elected.”

—Anne Sexton (1928–1974)

Related Subjects

Related Phrases

Related Words