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Results tagged with additive-combinatorics
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user 531117
Questions on the subject additive combinatorics, also known as arithmetic combinatorics, such as questions on: additive bases, sum sets, inverse sum set theorems, sets with small doubling, Sidon sets, Szemerédi's theorem and its ramifications, Gowers uniformity norms, etc. Often combined with the top-level tags nt.number-theory or co.combinatorics. Some additional tags are available for further specialization, including the tags sumsets and sidon-sets.
3
votes
1
answer
164
views
Maximal zero-sum free sequences of $C_3^n$
I am working on the Davenport constant for groups, $D(G)$, which is the minimal number $d$ such that every sequence or multiset of $d$ elements of the group $G$ always contains some non-empty zero-sum …
0
votes
0
answers
159
views
One-product free sequences for $A_n$
I am working on computing the Davenport constant $D(G)$ for $S_n$ and $A_n$, i.e., the minimal number $d$ such that every sequence (multiset) of $d$ elements contains some subsequence giving identity …
2
votes
1
answer
223
views
Is the small Davenport constant for $S_n$, $d(S_n)=n(n-1)/2$?
The Davenport constant $D(G)$ of a finite group $G$ is the minimal $d$ such that any sequence/multiset of length $d$ is one-product, i.e., identity can be obtained as a product (in some order) of some …
- 24.2k
3
votes
1
answer
252
views
Davenport constant $D(S_5)=10$ or $11$?
I am working on computing the Davenport constant $D(G)$
of symmetric groups, which is the minimal number $d$
such that every sequence of $d$
elements, possibly with repetitions, is one-product, i.e. t …
- 12.9k
3
votes
0
answers
152
views
Correspondence between even and odd permutations in $S_5$
I am working on the Davenport constant for symmetric groups, $D(G)$
, which is the minimal number $d$
such that every sequence of $d$
elements in the group G
is one-product sequence, i.e, we can alway …