Finite direct sums of cyclic embeddings

نویسندگان

چکیده

In this paper we generalize Kaplansky's combinatorial characterization of the isomorphism types embeddings a cyclic subgroup in finite abelian group given his 1951 book ``Infinite Abelian Groups''. For introduce partial maps on Littlewood-Richardson tableaux and show that they characterize direct sums such embeddings.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

on direct sums of baer modules

the notion of baer modules was defined recently

Zero Sums in Finite Cyclic Groups

Let Cn be the cyclic group of n elements, and let S = (a1, · · · , ak) be a sequence of elements in Cn. We say that S is a zero sequence if ∑k i=1 ai = 0 and that S is a minimal zero-sequence if S is a zero sequence and S contains no proper zero subsequence. In this paper we prove, among other results, that if S is a minimal zero sequence of elements in Cn and |S| ≥ n − [ 3 ] + 1, then there ex...

متن کامل

Ultra Bessel sequences in direct sums of Hilbert spaces

In this paper, we establish some new results in ultra Bessel sequences and ultra Bessel sequences of subspaces. Also, we investigate ultra Bessel sequences in direct sums of Hilbert spaces. <span style="font-family: NimbusRomNo9L-Regu; font-size: 11pt; color: #000000; font-s...

متن کامل

Exponential Sums, Gauss Sums and Cyclic Codes

The dissertation consists of three articles in which the evaluation of certain exponential sums and Gauss sums and bounds for the absolute values of exponential sums are considered. The summary part of the thesis provides interpretations in terms of coding theory for the results obtained in the articles.

متن کامل

Isomorphisms of Direct Products of Finite Cyclic Groups

In this article, we formalize that every finite cyclic group is isomorphic to a direct product of finite cyclic groups which orders are relative prime. This theorem is closely related to the Chinese Remainder theorem ([18]) and is a useful lemma to prove the basis theorem for finite abelian groups and the fundamental theorem of finite abelian groups. Moreover, we formalize some facts about the ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Contemporary mathematics

سال: 2021

ISSN: ['2705-1056', '2705-1064']

DOI: https://doi.org/10.1090/conm/761/15314