On cross numbers of minimal zero sequences
نویسندگان
چکیده
Let be a finite abelian p-group. We the complete set of cross numbers of minimal sequences associated with G. We also result of Krause minimal zero sequences with cross numbers less than or Let G be an additively written finite abelian group and S = use exponentiation to represent in the sequence. We say that S is a zero sequence if 9i = o.
منابع مشابه
On the Cross Numbers of Minimal Zero Sequences in Selected Cyclic Groups
In this paper, we deal with the set of possible cross numbers for two cyclic groups: Z2pn and Zpq. The first section completely characterizes this set for Z2pn . Next, we create a family of minimal zero sequences in Zpq. The following section utilizes these sequences to completely determine the structure of W (Zpq) for p sufficiently larger than q. This section additionally gives stability cond...
متن کاملOn Cross Numbers Of Minimal Zero Sequences In Certain Cyclic Groups
Let p and q be distinct primes with p > q and n a positive integer. In this paper, we consider the set of possible cross numbers for the cyclic groups Z2pn and Zpq . We completely determine this set for Z2pn and also Zpq for q = 3, q = 5 and the case where p is sufficiently larger than q. We view the latter result in terms of an upper bound for this set developed in a paper of Geroldinger and S...
متن کاملOn Lacunary Statistical Limit and Cluster Points of Sequences of Fuzzy Numbers
For any lacunary sequence $theta = (k_{r})$, we define the concepts of $S_{theta}-$limit point and $S_{theta}-$cluster point of a sequence of fuzzy numbers $X = (X_{k})$. We introduce the new sets $Lambda^{F}_{S_{theta}}(X)$, $Gamma^{F}_{S_{theta}}(X)$ and prove some inclusion relaions between these and the sets $Lambda^{F}_{S}(X)$, $Gamma^{F}_{S}(X)$ introduced in ~cite{Ayt:Slpsfn} by Aytar [...
متن کاملSome Remarks on Generalized Sequence Space of Bounded Variation of Sequences of Fuzzy Numbers
The idea of difference sequences of real (or complex) numbers was introducedby Ki zmaz cite{Kizmaz}. In this paper, using the difference operator and alacunary sequence, we introduce and examine the class of sequence $bv_{theta}left( Delta,mathcal{F}right) .$ We study some of its properties likesolidity, symmetricity, etc.
متن کاملLong Minimal Zero - Sum Sequences in the Group C
A sequence in an additively written abelian group is called a minimal zero-sum sequence if its sum is the zero element of the group and none of its proper subsequences has sum zero. The structure of the longest minimal zero-sum sequences in the group C2 ⊕C2k is known. Their length is equal to 2k + 1. We characterize the minimal zero-sum sequences in C2 ⊕ C2k (k ≥ 3) with lengths at least 2�k/2�...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Australasian J. Combinatorics
دوره 14 شماره
صفحات -
تاریخ انتشار 1996