Name
Abstract | ||
|---|---|---|
Subgroups of the symmetric group S-n act on C-n (the n-fold product C x ... x C of a chain C) by permuting coordinates, and induce automorphisms of the power C-n. For certain families of subgroups of S-n, the quotients defined by these groups can be shown to have symmetric chain decompositions (SCDs). These SCDs allow us to enlarge the collection of subgroups G of S-n for which the quotient 2(n)/G on the Boolean lattice 2(n) is a symmetric chain order (SCO). The methods are also used to provide an elementary proof that quotients of powers of SCOs by cyclic groups are SCOs. |
Year | Venue | Field |
|---|---|---|
2015 | ELECTRONIC JOURNAL OF COMBINATORICS | Discrete mathematics,Combinatorics,Cyclic group,Symmetric group,Automorphism,Elementary proof,Quotient,Permutation,Boolean algebra (structure),Mathematics |
DocType | Volume | Issue |
Journal | 22.0 | 2.0 |
ISSN | Citations | PageRank |
1077-8926 | 0 | 0.34 |
References | Authors | |
6 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dwight Duffus | 1 | 111 | 36.63 |
| Kyle Thayer | 2 | 10 | 2.80 |