Nilpotence theorem

Nilpotence theorem

In algebraic topology, the nilpotence theorem gives a condition for an element of the coefficient ring of a ring spectrum to be nilpotent, in terms of complex cobordism. It was conjectured by Ravenel (1984) and proved by Devinatz, Hopkins & Smith (1988).

Nishida's theorem

Nishida (1973) showed that elements of positive degree of the homotopy groups of spheres are nilpotent. This is a special case of the nilpotence theorem.

References


Wikimedia Foundation. 2010.

Игры ⚽ Нужна курсовая?

Look at other dictionaries:

  • Focal subgroup theorem — In abstract algebra, the focal subgroup theorem describes the fusion of elements in a Sylow subgroup of a finite group. The focal subgroup theorem was introduced in (Higman 1958) and is the first major application of the transfer according to… …   Wikipedia

  • Michael J. Hopkins — Mike Hopkins in Oberwolfach 2009 Born April 18, 1958 …   Wikipedia

  • Adequate equivalence relation — In algebraic geometry, a branch of mathematics, an adequate equivalence relation is an equivalence relation on algebraic cycles of smooth projective varieties used to obtain a well working theory of such cycles, and in particular, well defined… …   Wikipedia

  • Ethan Devinatz — Ethan Sander Devinatz ist ein US amerikanischer Mathematiker, der sich mit algebraischer Topologie beschäftigt. Devinatz wurde 1985 am Massachusetts Institute of Technology bei Franklin Peterson promoviert (A Nilpotence Theorem in Stable Homotopy …   Deutsch Wikipedia

  • Jeffrey H. Smith — (häufig Jeff Smith zitiert) ist ein US amerikanischer Mathematiker, der sich mit algebraischer Topologie beschäftigt. Smith wurde 1981 am Massachusetts Institute of Technology bei Daniel Marinus Kan promoviert (A Nilpotence Theorem in Stable… …   Deutsch Wikipedia

  • Mark Mahowald — Born 1931 Nationality  …   Wikipedia

  • Nilpotent matrix — In linear algebra, a nilpotent matrix is a square matrix N such that for some positive integer k. The smallest such k is sometimes called the degree of N. More generally, a nilpotent transformation is a linear transformation L of a vector space… …   Wikipedia

  • BRST quantization — In theoretical physics, BRST quantization (where the BRST refers to Becchi, Rouet, Stora and Tyutin) is a relatively rigorous mathematical approach to quantizing a field theory with a gauge symmetry. Quantization rules in earlier QFT frameworks… …   Wikipedia

  • Stable homotopy theory — In mathematics, stable homotopy theory is that part of homotopy theory (and thus algebraic topology) concerned with all structure and phenomena that remain after sufficiently many applications of the suspension functor. A founding result was the… …   Wikipedia

  • Nilpotent group — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”