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Foldes, Stephane; Singhi, Navin M. Regular Representation of Finite Groups by Hypergraphs. Canadian journal of mathematics, Tome 30 (1978) no. 5, pp. 946-960. doi: 10.4153/CJM-1978-082-9
@article{10_4153_CJM_1978_082_9,
author = {Foldes, Stephane and Singhi, Navin M.},
title = {Regular {Representation} of {Finite} {Groups} by {Hypergraphs}},
journal = {Canadian journal of mathematics},
pages = {946--960},
year = {1978},
volume = {30},
number = {5},
doi = {10.4153/CJM-1978-082-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-082-9/}
}
TY - JOUR AU - Foldes, Stephane AU - Singhi, Navin M. TI - Regular Representation of Finite Groups by Hypergraphs JO - Canadian journal of mathematics PY - 1978 SP - 946 EP - 960 VL - 30 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1978-082-9/ DO - 10.4153/CJM-1978-082-9 ID - 10_4153_CJM_1978_082_9 ER -
[1] 1. Berge, C., Graphes et hypergraphes (Dunod, Paris, 1970). Google Scholar
[2] 2. Cayley, A., On the theory of groups, as depending on the symbolic equation 6n = 1, Philos. Mag. 7 (1854), 40–47. Google Scholar
[3] 3. Cayley, A., The theory of groups, Proc. London Math. Soc. 9 (1878), 126–33. Google Scholar
[4] 4. Chao, C. Y., On a theorem of Sabidussi, Proc. Amer. Math. Soc. 15 (1964), 291–92. Google Scholar
[5] 5. Feit, W. and Thompson, J. G., Solvability of groups of odd order, Pacific J. Math. 13 (1963), 775–1029. Google Scholar
[6] 6. Foldes, S., Symmetries, Ph.D. Thesis, University of Waterloo, 1977. Google Scholar
[7] 7. Foldes, S. and Singhi, N. M., Regular representation of abelian groups by 3-uniform hypergraphs, CORR 77–2, University of Waterloo, January, 1977. Google Scholar
[8] 8. Frucht, R., HerstellungvonGraphen mit vorgegebener abstrakter Gruppe, Compositio Math. 6 (1939), 239–50. Google Scholar
[9] 9. Hell, P. and Nesetril, J., Graphs and k-societies, Canad. Math. Bull. 13 (1970), 375–81. Google Scholar
[10] 10. Hoffman, F., Note on ô-sets infinite groups, written communication. Google Scholar
[11] 11. Imrich, W., Graphen mit transitiver Automorphismengruppe, Monatsh. Math. 73 (1969), 341–47. Google Scholar
[12] 12. Imrich, W., Graphs with transitive abelian automorphism group, Colloquia Math. Soc. Janos Bolyai 4, Hungary (1969), 651–56. Google Scholar
[13] 13. Imrich, W., On graphical regular representations of groups, Colloquia Math. Soc. Janos Bolyai 10, Hungary (1973), 905–25. Google Scholar
[14] 14. Imrich, W., On graphs with regular groups, J. Comb. Theory B19 (1975), 174–80. Google Scholar
[15] 15. Kagno, I. N., Linear graphs of degree and their groups, Amer. J. Math. 68 (1946), 505–20. Google Scholar
[16] 16. McAndrew, M. H., On graphs with transitive automorphism groups, Notices Amer. Math. Soc. 12 (1965), 575. Google Scholar
[17] 17. Nowitz, L. A., On the non-existence of graphs with transitive generalized dicyclic groups, J. Comb. Theory 4 (1968), 49–51. Google Scholar
[18] 18. Nowitz, L. A. and Watkins, M. E., Graphical regular representations of non-abelian groups, I. and IL, Can. J. Math. 24 (1972), 993-1008 and 1009–1018. Google Scholar
[19] 19. Sabidussi, G., Vertex-transitive graphs, Monatsh. Math. 68 (1964), 426–38. Google Scholar
[20] 20. Street, A. P., Sum-free sets, Lecture Notes in Math. 292 (Springer-Verlag, 1972), 123–271. Google Scholar
[21] 21. Watkins, M. E., On the action of non-abelian groups on graphs, J. Comb. Theory Bll (1971), 95–104. Google Scholar
[22] 22. Watkins, M. E., On graphical regular representations of Cn X (?, Lecture Notes in Math. 303 Springer-Verlag, 1972), 305–11. Google Scholar
[23] 23. Watkins, M. E., Graphical regular representations of alternating, symmetric, and miscellaneous small groups, Aequationes Math. 11 (1975), 40–50. Google Scholar
[24] 24. Watkins, M. E., Graphical regular representations of free products of groups, J. Comb. Theory B21 (1976), 47–56. Google Scholar
[25] 25. Wielandt, H., Finite permutation groups (Academic Press, 1964). Google Scholar
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