Some results on the partitions of groups
Rendiconti del Seminario Matematico della Università di Padova (2011)
- Volume: 125, page 119-146
- ISSN: 0041-8994
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topFarrokhi D. G., M.. "Some results on the partitions of groups." Rendiconti del Seminario Matematico della Università di Padova 125 (2011): 119-146. <http://eudml.org/doc/242024>.
@article{FarrokhiD2011,
author = {Farrokhi D. G., M.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {finite groups; partitions of groups; components; numbers of subgroups; orders of groups; nilpotent groups},
language = {eng},
pages = {119-146},
publisher = {Seminario Matematico of the University of Padua},
title = {Some results on the partitions of groups},
url = {http://eudml.org/doc/242024},
volume = {125},
year = {2011},
}
TY - JOUR
AU - Farrokhi D. G., M.
TI - Some results on the partitions of groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2011
PB - Seminario Matematico of the University of Padua
VL - 125
SP - 119
EP - 146
LA - eng
KW - finite groups; partitions of groups; components; numbers of subgroups; orders of groups; nilpotent groups
UR - http://eudml.org/doc/242024
ER -
References
top- [1] T. M. Apostol, Introduction to Alanytic Number Theory, Springer-Verlag, 1976. Zbl1154.11300
- [2] R. Baer, Partitionen Endlicher Gruppen, Math. Z., 75 (1961), pp. 333–372. Zbl0103.01404MR151507
- [3] R. Baer, Einfache Partitionen endlicher Gruppen mit nicht-trivialer Fittingscher Untergruppe, Arch. Math. (Basil), 12 (1961), pp. 81–89. Zbl0102.26903MR136649
- [4] J. D. Dixon - M. P. F. du Sautoy - A. Mann - D. Segal, Analytic pro- groups, Second Edition, Cambridge University Press, 1999. Zbl0934.20001MR1720368
- [5] M. FarrokhiD. G., Partitions of Groups, M.Sc Thesis, Ferdowsi University of Mashhad, Iran (February 2007).
- [6] B. Huppert, Endliche Gruppen I, Springer-Verlag, 1967. Zbl0412.20002MR224703
- [7] B. Huppert - N. Blackburn, Finite Groups III, Springer-Verlag, 1982. Zbl0514.20002MR662826
- [8] O. H. Kegel, Aufzählung der Partitionen endlicher Gruppen mit trivialer Fittingscher Untergruppe, Arch. Math. (Basil), 12 (1961), pp. 409–412. Zbl0114.25503MR143812
- [9] O. H. Kegel, Die Nilpotenz der -Gruppen, Math. Z., 75 (1961), pp. 373–376. Zbl0104.24904MR122867
- [10] O. H. Kegel, Nicht-einfache Partitionen endlicher Gruppen, Arch. Math. (Basil), 12 (1961), pp. 170–175. Zbl0123.02505MR136650
- [11] P. G. Kontorovich, On groups with bases of partition III, Mat. Sbornik N. S., 22 (64) (1948), pp. 79–100. Zbl0040.00602MR24435
- [12] E. I. Khukhro, Nilpotent Groups and their Automorphisms, Walter de Gruyter, Berlin-New York, 1993. Zbl0795.20018MR1224233
- [13] I. D. Macdonald, Solution of the Hughes problem for finite -groups of class , Proc. Amer. Math. Soc. 27 No. 1 (1971), pp. 39–42. Zbl0211.04402MR271230
- [14] G. A. Miller, Groups in which all the operators are contained in a series of subroups such that any two have only identity in common, Bull. Amer. Math. Soc., 17 (1906/197), pp. 446–449. Zbl37.0170.01MR1558369JFM37.0170.01
- [15] D. J. Robinson, A Course in the Thoery of Groups, Springer-Verlag, 1982. Zbl0836.20001MR648604
- [16] R. H. Schulz, On a conjucture of Herzer concerning linear partitions, J. Geom., 26 (1986), pp. 186–190. Zbl0611.20018MR850164
- [17] M. Suzuki, On a class of doubly transitive groups, Ann. of Math. (2), 75 (1962), pp. 104–145. Zbl0106.24702MR136646
- [18] M. Suzuki, On a finite group with a partition, Arch. Math. (Basil), 12 (1961), pp. 241–254. Zbl0107.25902MR136647
- [19] J. W. Young, On the partition of a group and the resulting classification, Bull. Amer. Math. Soc., 35 (1927), pp. 453–461. Zbl53.0107.04MR1561400JFM53.0107.04
- [20] G. Zappa, Contributo allo studio del problema di Hughes sui gruppi, Ann. Mat. Pura Appl. (4), 57 No. 1 (1962), pp. 211–219. Zbl0105.02302MR137761
- [21] G. Zappa, Partitions and other coverings of groups, Illinois J. Math., 47 No. 1/2 (Spring/Summer 2003), pp. 571–580. Zbl1033.20018MR2031342
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