Corrigendum to: “The critical number of finite abelian groups”. (English) Zbl 1393.11065
Summary: One of the theorems of the original paper [J. Number Theory 129, No. 11, 2766–2777 (2009; Zbl 1214.11113)] was not correctly stated for cyclic groups whose order is the square of an odd prime. The theorem statement is corrected to guarantee that \(\operatorname{cr}(C_{p^2}) = 2 p - 1\) for odd primes \(p\) and the statement of the proof of the theorem is reformulated accordingly.
MSC:
| 11P70 | Inverse problems of additive number theory, including sumsets |
| 11B50 | Sequences (mod \(m\)) |
| 11B75 | Other combinatorial number theory |
Citations:
Zbl 1214.11113References:
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| [5] | Qu, Yongke; Wang, Guoqing; Wang, Qinghong; Guo, Dan, Extremal incomplete sets in finite abelian groups, Ars Combin., 116, 457-475 (2014) · Zbl 1340.20047 |
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| [8] | Wang, Qinghong; Zhuang, J. J., On the critical number of finite groups of order pq, Int. J. Number Theory, 8, 1271-1279 (2012) · Zbl 1290.11135 |
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