Su certe classi di gruppi unipotenti

G. Falcone

Bollettino dell'Unione Matematica Italiana (2005)

  • Volume: 8-B, Issue: 1, page 167-171
  • ISSN: 0392-4033

Abstract

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We introduce some results characterizing unipotent algebraic groups having a chain as the lattice of connected subgroups and we discuss some consequent results.

How to cite

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Falcone, G.. "Su certe classi di gruppi unipotenti." Bollettino dell'Unione Matematica Italiana 8-B.1 (2005): 167-171. <http://eudml.org/doc/196085>.

@article{Falcone2005,
abstract = {Si presentano alcuni risultati che caratterizzano i gruppi algebrici unipotenti aventi come reticolo dei sottogruppi connessi una catena e si discutono alcuni risultati conseguenti.},
author = {Falcone, G.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {algebraic groups; unipotent groups; chains of subgroups; lattices of connected subgroups},
language = {ita},
month = {2},
number = {1},
pages = {167-171},
publisher = {Unione Matematica Italiana},
title = {Su certe classi di gruppi unipotenti},
url = {http://eudml.org/doc/196085},
volume = {8-B},
year = {2005},
}

TY - JOUR
AU - Falcone, G.
TI - Su certe classi di gruppi unipotenti
JO - Bollettino dell'Unione Matematica Italiana
DA - 2005/2//
PB - Unione Matematica Italiana
VL - 8-B
IS - 1
SP - 167
EP - 171
AB - Si presentano alcuni risultati che caratterizzano i gruppi algebrici unipotenti aventi come reticolo dei sottogruppi connessi una catena e si discutono alcuni risultati conseguenti.
LA - ita
KW - algebraic groups; unipotent groups; chains of subgroups; lattices of connected subgroups
UR - http://eudml.org/doc/196085
ER -

References

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  1. BARSOTTI, I., On Witt vectors and periodic group-varieties, Ill. J. Math., 2 (1958), 99-110; correction ibid., 2 (1958), 608-610. Zbl0082.14801MR103189
  2. BOREL, A., Linear Algebraic Groups, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo1991. Zbl0726.20030MR1102012
  3. DEMAZURE, M. - GABRIEL, P., Groupes Algébriques, Masson & Cie, Paris, North-Holland, Amsterdam1991. 
  4. DIEUDONNÉ, J., Lie groups and Lie hyperalgebras over a field of characteristic p > 0 (VIII), Amer. J. Math.LXXX, 3 (1958), 740-772. Zbl0083.02203MR98147
  5. SERRE, J. P., Groupes algébriques et corps de classes, Actualités scientifiques et industrielles. 1264. Hermann, Paris1959. Zbl0097.35604MR103191
  6. WITT, E., Zyklische Körper und Algebren der Charakteristik p vom Grad p n . Struktur diskret bewerteter perfekter Körper mit vollkommenem Restklassenkörper der Charakteristik p, J. Reine Angew. Math., 176 (1936), 126-140. 

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