View source for Jordan-Dedekind lattice

A [[Lattice|lattice]] satisfying the following condition, known as the Jordan–Dedekind chain condition: All maximal chains have the same length.

The condition arose in connection with the Jordan–Hölder theorems for groups (cf. [[Jordan–Hölder theorem|Jordan–Hölder theorem]]), and is equivalent to the condition of supersolvability in the lattice of all subgroups of a finite group (cf [[Supersolvable group]]).

A general reference is [[#References|[a1]]]. See also [[Partially ordered set|Partially ordered set]]; [[Chain|Chain]].

====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  M. Hall, Jr.,   "The theory of groups" , Macmillan  (1968)</TD></TR></table>

[[Category:Order, lattices, ordered algebraic structures]]