-groups and wreath products
Mauro Costantini; Giovanni Zacher
- Volume: 16, Issue: 4, page 239-250
- ISSN: 1120-6330
Access Full Article
top
Abstract
topHow to cite
topCostantini, Mauro, and Zacher, Giovanni. "$K$-groups and wreath products." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 16.4 (2005): 239-250. <http://eudml.org/doc/252419>.
@article{Costantini2005,
abstract = {We give criteria for a wreath product to have complemented subgroup-lattice.},
author = {Costantini, Mauro, Zacher, Giovanni},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Complemented group; Wreath product; Subgroup lattice; complemented groups; wreath products; subgroup lattices; complemented lattices},
language = {eng},
month = {12},
number = {4},
pages = {239-250},
publisher = {Accademia Nazionale dei Lincei},
title = {$K$-groups and wreath products},
url = {http://eudml.org/doc/252419},
volume = {16},
year = {2005},
}
TY - JOUR
AU - Costantini, Mauro
AU - Zacher, Giovanni
TI - $K$-groups and wreath products
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 2005/12//
PB - Accademia Nazionale dei Lincei
VL - 16
IS - 4
SP - 239
EP - 250
AB - We give criteria for a wreath product to have complemented subgroup-lattice.
LA - eng
KW - Complemented group; Wreath product; Subgroup lattice; complemented groups; wreath products; subgroup lattices; complemented lattices
UR - http://eudml.org/doc/252419
ER -
References
top- BURGOYNE, N. - GRIESS, R. - LYONS, R., Maximal subgroups and automorphisms of Chevalley groups. Pac. J. Math., 71, 1977, 365-403. Zbl0334.20022MR444795
- COSTANTINI, M. - ZACHER, G., The finite simple groups have complemented subgroup lattices. Pac. J. Math., 213, 2004, 245-251. Zbl1062.20025MR2036918DOI10.2140/pjm.2004.213.245
- DIXON, J.D. - MORTIMER, B., Permutation Groups. Springer-Verlag, Berlin-Heidelberg-New York1996. Zbl0951.20001MR1409812DOI10.1007/978-1-4612-0731-3
- GASCHUTZ, W., Über die -Untergruppe endlicher Gruppen. Math. Z., 58, 1953, 160-170. Zbl0050.02202MR57873
- GROSS, F. - KOVACS, L.C., On normal subgroups which are direct products. J. Algebra, 90, 1984, 133-168. Zbl0594.20018MR757086DOI10.1016/0021-8693(84)90203-5
- HUPPERT, B., Endliche Gruppen, I. Springer-Verlag, Berlin-Heidelberg-New York1967. Zbl0412.20002MR224703
- HUPPERT, B. - BLACKBURN, N., Finite Groups, II. Springer-Verlag, Berlin-Heidelberg-New York1982. Zbl0477.20001MR650245
- KLEIDMAN, P.B. - LIEBECK, M.W., The subgroup structure of the finite classical groups. London Math. Soc. Lecture Notes, 129, Cambridge University Press, Cambridge1990. Zbl0697.20004MR1057341DOI10.1017/CBO9780511629235
- SCHMIDT, R., Subgroup lattices of groups, de Gruyter, Berlin1994. Zbl0843.20003MR1292462DOI10.1515/9783110868647
- THÉVENAZ, J., Maximal subgroups of direct products. J. Algebra, 198, 1997, 352-361. Zbl0888.20016
- ZACHER, G., Caratterizzazione dei gruppi risolubili d'ordine finito complementati. Rend. Sem. Mat. Univ. Padova, 22, 1953, 113-122. Zbl0051.25802MR57878
- ZACHER, G., Costruzione dei gruppi finiti a sottogruppo di Frattini identico. Rend. Sem. Mat. Univ. Padova, 21, 1952, 383-394. Zbl0048.01501MR53103
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.