Subgroup Lattices and Symmetric Functions

Released on by Lynne M. Butler
preview-18

  • Subgroup Lattices and Symmetric Functions Book Detail

  • Author : Lynne M. Butler
  • Release Date : 1994
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 173
  • ISBN 13 : 082182600X
  • File Size : 66,66 MB
DOWNLOAD BOOK

Subgroup Lattices and Symmetric Functions by Lynne M. Butler PDF Summary

Book Description: This work presents foundational research on two approaches to studying subgroup lattices of finite abelian p-groups. The first approach is linear algebraic in nature and generalizes Knuth's study of subspace lattices. This approach yields a combinatorial interpretation of the Betti polynomials of these Cohen-Macaulay posets. The second approach, which employs Hall-Littlewood symmetric functions, exploits properties of Kostka polynomials to obtain enumerative results such as rank-unimodality. Butler completes Lascoux and Schützenberger's proof that Kostka polynomials are nonnegative, then discusses their monotonicity result and a conjecture on Macdonald's two-variable Kostka functions.

Disclaimer: www.yourbookbest.com does not own Subgroup Lattices and Symmetric Functions books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Subgroup Lattices and Symmetric Functions

Subgroup Lattices and Symmetric Functions

File Size : 25,25 MB
Total View : 4234 Views
DOWNLOAD

This work presents foundational research on two approaches to studying subgroup lattices of finite abelian p-groups. The first approach is linear algebraic in n

Subgroup Lattices of Groups

Subgroup Lattices of Groups

File Size : 98,98 MB
Total View : 473 Views
DOWNLOAD

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offer

Subgroup Growth

Subgroup Growth

File Size : 34,34 MB
Total View : 3466 Views
DOWNLOAD

Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2001. Subgroup growth studies the distribution of subgroups of finite index in a group as a functi