Finite groups with some CAP-subgroups
Ezquerro, Luis M. ; Li, Xianhua ; Li, Yangming
Rendiconti del Seminario Matematico della Università di Padova, Tome 132 (2014), p. 77-88 / Harvested from Numdam
Publié le : 2014-01-01
@article{RSMUP_2014__131__77_0,
     author = {Ezquerro, Luis M. and Li, Xianhua and Li, Yangming},
     title = {Finite groups with some CAP-subgroups},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {132},
     year = {2014},
     pages = {77-88},
     mrnumber = {3217752},
     zbl = {06329759},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_2014__131__77_0}
}
Ezquerro, Luis M.; Li, Xianhua; Li, Yangming. Finite groups with some CAP-subgroups. Rendiconti del Seminario Matematico della Università di Padova, Tome 132 (2014) pp. 77-88. http://gdmltest.u-ga.fr/item/RSMUP_2014__131__77_0/

[1] A. Ballester-Bolinches - L. M. Ezquerro - A. N. Skiba, Local embeddings of some families of subgroups of finite group, Acta Math. Sinica, Eng. Ser., 25: pp. 869–882, 2009. | MR 2511532 | Zbl 1190.20014

[2] J. H. Conway - R. T. Curtis - S.P. Norton - R. A. Parker - R. A. Wilson, ATLAS of Finite Groups, Clarendon Press, Oxford, 1985. | MR 827219 | Zbl 0568.20001

[3] L. M. Ezquerro, A contribution to the theory of finite supersolvable group, Rend. Sem. Mat. Univ. Padova, 89: pp. 161–170, 1993. | Numdam | MR 1229050 | Zbl 0809.20009

[4] W. Gaschütz, Praefrattini Gruppen, Arch. Math. 13: pp. 418–426, 1962.

[5] J. K. Gillam, Cover-avoid subgroups in finite groups, J. Algebra, 29: pp. 324–329, 1974. | MR 346050 | Zbl 0293.20017

[6] Guo Xiuyun - K. P. Shum, Cover-avoidance properties and the structure of finite groups, J. Pure Applied Algebra, 181: pp. 297–308, 2003. | MR 1975303 | Zbl 1028.20014

[7] B. Huppert, Endliche Gruppen I. Berlin: Springer-Verlag, 1968. | MR 224703 | Zbl 0412.20002

[8] B. Huppert - N. Blackburn, Endiche Gruppen II, Spring-Verlag, Berlin, 1979.

[9] Y. Li, On cover-avoiding subgroups of Sylow subgroups of finite groups, Rend. Sem. Mat. Univ. Padova, 123: pp. 249–258, 2010. | Numdam | MR 2683300 | Zbl 1197.20014

[10] S. Li - X. He, On Normally Embedded Subgroups of Prime Power Order in Finite Groups, Comm. Algebra, 36: pp. 2333–2349, 2008. | MR 2418390 | Zbl 1146.20015

[11] Y. Li - G. Wang, A note on maximal CAP-subgroups of finite groups, Algebras, Groups and Geometries, 23: pp. 285–290, 2006. | MR 2303510 | Zbl 1138.20017

[12] J. Petrillo, The cover-avoidance property in finite groups, Ph.D. thesis, State University of New York at Binghamton, 2003. | MR 2705048

[13] J. Petrillo, CAP-subgroups in a direct product of finite groups, J Algebra, 306: pp. 432–438, 2006. | MR 2271344 | Zbl 1113.20021

[14] K.U. Schaller, Über Deck-Meide-Untergruppen in endlichen auflösbaren Gruppen, Ph.D. thesis, University of Kiel, 1971.