Is a finite group with any subgroup admitting a unique complement, cyclic?
Posted by Sébastien Palcoux, at math.stackexchange.com,
Let $G$ be a finite group such that any subgroup $H \le G$ admits a unique complement $K$. Question: Is $G$ cyclic ?
Lattice Theory: Foundation
Overview of attention for book
Table of Contents
-
Altmetric BadgeBook Overview
-
Altmetric BadgeChapter 1 First Concepts
-
Altmetric BadgeChapter 2 Distributive Lattices
-
Altmetric BadgeChapter 3 Congruences
-
Altmetric BadgeChapter 4 Lattice Constructions
-
Altmetric BadgeChapter 5 Modular and Semimodular Lattices
-
Altmetric BadgeChapter 6 Varieties of Lattices
-
Altmetric BadgeChapter 7 Free Products