ALBERT — All Library Books, journals and Electronic Records Telegrafenberg

Hits per page

hit 1 - 1 | 1 hit

Sorting

Electronic Resource

Proof of a conjecture on the Sperner property of the subgroup lattice of an abelianp-group (1998)

Wang, Jun

Springer

Annals of combinatorics 2 (1998), S. 85-101

add to mindlist on the mindlist

Details

ISSN: 0219-3094

Keywords: 05A05 ; 05D05 ; 06A07 ; Sperner property ; poset ; subgroup lattice

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Let $$L_{\left( {k^n } \right)}$$ (p) denote the subgroup lattice of the abelianp-group $$(Z/p^k Z) \times \cdots \times (Z/p^k Z)(ntimes).$$ . It is conjectured that the lattice has the Sperner property. Whenk=1, the conjecture is true since it is isomorphic to the subspace lattice, and Stanley has confirmed it fork=2. In this paper, we prove that the conjecture is generally true.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01626030

Permalink

	Location	Call Number	Expected	Availability

Others were also interested in ...

Paper (German National Licenses)

Fulltext

hit 1 - 1 | 1 hit