منابع مشابه
Elementary Abelian Covers of Graphs
Let CG (X ) be the set of all (equivalence classes of) regular covering projections of a given connected graph X along which a given group G ≤ Aut X of automorphisms lifts. There is a natural lattice structure on CG (X ), where ℘1 ≤ ℘2 whenever ℘2 factors through ℘1. The sublattice CG (℘) of coverings which are below a given covering ℘ : X̃ → X naturally corresponds to a lattice NG (℘) of certai...
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A non-abelian finite group is called sequenceable if for some positive integer , is -generated ( ) and there exist integers such that every element of is a term of the -step generalized Fibonacci sequence , , , . A remarkable application of this definition may be find on the study of random covers in the cryptography. The 2-step generalized sequences for the dihedral groups studi...
متن کاملArc-transitive abelian regular covers of cubic graphs
Quite a lot of attention has been paid recently to the construction of edgeor arc-transitive covers of symmetric graphs. In most cases, the approach has involved voltage graph techniques, which are excellent for finding regular covers in which the group of covering transformations is either cyclic or elementary abelian, or more generally, homocyclic, but are not so easy to use when the covering...
متن کاملComputing Abelian Covers and Abelian Runs
Two strings u and v are said to be Abelian equivalent if u is a permutation of the characters of v. We introduce two new regularities on strings w.r.t. Abelian equivalence, called Abelian covers and Abelian runs, which are generalizations of covers and runs of strings, respectively. We show how to determine in O(n) time whether or not a given string w of length n has an Abelian cover. Also, we ...
متن کاملLocal Structure of Abelian Covers
We study normal finite abelian covers of smooth varieties. In particular we establish combinatorial conditions so that a normal finite abelian cover of a smooth variety is Gorenstein or locally complete intersection.
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2004
ISSN: 0925-9899
DOI: 10.1023/b:jaco.0000047294.42633.25