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Tiny zero-sum sequences over some special groups
by
Wang, Linlin
in
05D05
/ cross number
/ finite abelian group
/ Group theory
/ Prime numbers
/ tiny
/ zero-sum sequence
2020
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Tiny zero-sum sequences over some special groups
by
Wang, Linlin
in
05D05
/ cross number
/ finite abelian group
/ Group theory
/ Prime numbers
/ tiny
/ zero-sum sequence
2020
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Journal Article
Tiny zero-sum sequences over some special groups
2020
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Overview
Let
be a sequence with elements
from an additive finite abelian group
.
is called a tiny zero-sum sequence if
is non-empty,
and
. Let
be the smallest integer
such that every sequence of
elements (repetition allowed) from
contains a tiny zero-sum sequence. In this article, we mainly focus on the explicit value of
and compute this value for a new class of groups, namely ones of the form
, where
is a prime number such that
Publisher
De Gruyter,De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
Subject
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