TY - JOUR
T1 - Carries, group theory, and additive combinatorics
AU - Diaconis, Persi
AU - Shao, Xuancheng
AU - Soundararajan, Kannan
N1 - Publisher Copyright:
© THE MATHEMATICAL ASSOCIATION OF AMERICA.
PY - 2014/10
Y1 - 2014/10
N2 - Given a group and a normal subgroup, we study the problem of choosing coset representatives with few "carries." The problem is closely linked to the emerging field of additive combinatorics. We explore this link and give a gentle introduction to some results and techniques of additive combinatorics.
AB - Given a group and a normal subgroup, we study the problem of choosing coset representatives with few "carries." The problem is closely linked to the emerging field of additive combinatorics. We explore this link and give a gentle introduction to some results and techniques of additive combinatorics.
UR - http://www.scopus.com/inward/record.url?scp=84955494275&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84955494275&partnerID=8YFLogxK
U2 - 10.4169/amer.math.monthly.121.08.674
DO - 10.4169/amer.math.monthly.121.08.674
M3 - Article
AN - SCOPUS:84955494275
SN - 0002-9890
VL - 121
SP - 674
EP - 688
JO - American Mathematical Monthly
JF - American Mathematical Monthly
IS - 8
ER -