# On additive bases

Acta Arithmetica (1999)

- Volume: 88, Issue: 3, page 233-237
- ISSN: 0065-1036

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topW. Gao, and Y. O. Hamidoune. "On additive bases." Acta Arithmetica 88.3 (1999): 233-237. <http://eudml.org/doc/207244>.

@article{W1999,

author = {W. Gao, Y. O. Hamidoune},

journal = {Acta Arithmetica},

keywords = {additive bases in groups},

language = {eng},

number = {3},

pages = {233-237},

title = {On additive bases},

url = {http://eudml.org/doc/207244},

volume = {88},

year = {1999},

}

TY - JOUR

AU - W. Gao

AU - Y. O. Hamidoune

TI - On additive bases

JO - Acta Arithmetica

PY - 1999

VL - 88

IS - 3

SP - 233

EP - 237

LA - eng

KW - additive bases in groups

UR - http://eudml.org/doc/207244

ER -

## References

top- [1] J. A. Dias da Silva and Y. O. Hamidoune, Cyclic subspaces of Grassmann derivations, Bull. London Math. Soc. 26 (1994), 140-146. Zbl0819.11007
- [2] G. T. Diderrich, An addition theorem for abelian groups of order pq, J. Number Theory 7 (1975), 33-48. Zbl0295.10042
- [3] G. T. Diderrich and H. B. Mann, Combinatorial problems in finite abelian groups, in: A Survey of Combinatorial Theory, J. L. Srivasta et al. (eds.), North-Holland, Amsterdam, 1973, 95-100. Zbl0258.20051
- [4] P. Erdős and H. Heilbronn, On the addition of residue classes mod p, Acta Arith. 9 (1964), 149-159.
- [5] W. Gao, On the size of additive bases of finite groups, preprint, October 1997.
- [6] Y. O. Hamidoune, Adding distinct congruence classes, Combin. Probab. Comput. 7 (1998), 81-87. Zbl0894.11004
- [7] Y. O. Hamidoune and G. Zémor, On zero-free subset sums, Acta Arith. 78 (1996), 143-152.
- [8] Y. O. Hamidoune, A. S. Lladó and O. Serra, On sets with a small subset sum, Combin. Probab. Comput., to appear. Zbl1109.11323
- [9] E. Lipkin, Subset sums of sets of residues, in: Conference on the Structure Theory of Set Addition, CIRM, Marseille, 1993, 187-197. Zbl0946.11005
- [10] H. B. Mann, Addition Theorems, 2nd ed., R. E. Krieger, New York, 1976.
- [11] H. B. Mann and J. E. Olson, Sums of sets of elements in the elementary abelian group of type (p,p), J. Combin. Theory 2 (1967), 275-284. Zbl0168.01501
- [12] H. B. Mann and Y. F. Wou, Addition theorem for the elementary abelian group of type (p,p), Monatsh. Math. 102 (1986), 273-308. Zbl0597.10049
- [13] J. E. Olson, An addition theorem modulo p, J. Combin. Theory 5 (1968), 45-52. Zbl0174.05202
- [14] J. E. Olson, Sums of sets of group elements, Acta Arith. 28 (1975), 147-156. Zbl0318.10035
- [15] C. Peng, An addition theorem in elementary abelian groups, J. Number Theory 27 (1987), 58-62.

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