nLab
Malcev group

Definition

A Malcev group is a filtered group G=F 1GF 2GG=F_1 G\supset F_2 G\supset\cdots such that

Morphisms of Malcev groups are morphisms of filtered groups?.

Properties

The category of Malcev groups is equivalent to the category of rational complete Hopf algebras. See there for more information.

References

  • А. И. Мальцев, Нильпотентные группы без кручения, Изв. АН СССР. Сер. матем. 13:3 (1949), 201–212. PDF.

  • Daniel Quillen, Rational homotopy theory, Annals of Mathematics 90:2 (1969), 205. doi.

Last revised on March 28, 2021 at 02:50:46. See the history of this page for a list of all contributions to it.