Existentially closed -groups
Rendiconti del Seminario Matematico della Università di Padova (1986)
- Volume: 75, page 191-226
- ISSN: 0041-8994
Access Full Article
topHow to cite
topLeinen, Felix. "Existentially closed $L \mathfrak {X}$-groups." Rendiconti del Seminario Matematico della Università di Padova 75 (1986): 191-226. <http://eudml.org/doc/108020>.
@article{Leinen1986,
author = {Leinen, Felix},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {existentially closed groups; system of equations; verbally complete groups; normal subgroups totally ordered by inclusion; locally finite groups; locally finite p-groups; finitely generated subgroups; characteristic subgroups; characteristically simple; normal subgroup structure; countable e.c. L-groups; unique chief series; automorphisms; isomorphism types},
language = {eng},
pages = {191-226},
publisher = {Seminario Matematico of the University of Padua},
title = {Existentially closed $L \mathfrak \{X\}$-groups},
url = {http://eudml.org/doc/108020},
volume = {75},
year = {1986},
}
TY - JOUR
AU - Leinen, Felix
TI - Existentially closed $L \mathfrak {X}$-groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1986
PB - Seminario Matematico of the University of Padua
VL - 75
SP - 191
EP - 226
LA - eng
KW - existentially closed groups; system of equations; verbally complete groups; normal subgroups totally ordered by inclusion; locally finite groups; locally finite p-groups; finitely generated subgroups; characteristic subgroups; characteristically simple; normal subgroup structure; countable e.c. L-groups; unique chief series; automorphisms; isomorphism types
UR - http://eudml.org/doc/108020
ER -
References
top- [1] R. Grossberg - S. Shelah, On universal locally finite groups, Israe J. Math., 44 (1983), pp. 289-302. Zbl0525.20025MR710234
- [2] K.W. Gruenberg, Residual properties of infinite soluble groups, Proc. London Math. Soc. (3), 7 (1957), pp. 29-62. Zbl0077.02901MR87652
- [3] P. Hall, Some constructions for locally finite groups, J. London Math. Soc., 34 (1959), pp. 305-319. Zbl0088.02301MR162845
- [4] P. Hall, Wreath powers and characteristically simple groups, Proc. Camb. Phil. Soc., 58 (1962), pp. 170-184. Zbl0109.01302MR139649
- [5] P. Hall, On non-strictly simple groups, Proc. Camb. Phil. Soc., 59 (1963), pp. 531-553. Zbl0118.03601MR156886
- [6] P. Hall - B. Hartley, The stability group of a series of subgroups, Proc. London Math. Soc. (3), 16 (1966), pp. 1-39. Zbl0145.24605MR191946
- [7] G. Higman, Amalgams of p-groups, J. Algebra, 1 (1964), pp. 301-305. Zbl0246.20015MR167527
- [8] J. Hirschfeld - W.H. Wheeler, Forcing, arithmetic, division rings, Berlin-Heidelberg-New York, 1975. Zbl0304.02024MR389581
- [9] C.H. Houghton, On the automorphism groups of certain wreath products, Publ. Math. Debrecen, 9 (1962), pp. 307-313. Zbl0118.26702MR150213
- [10] B. Huppert, Endliche Gruppen I, Berlin-Heidelberg-New York, 1967. Zbl0217.07201MR224703
- [11] B. Huppert - N. Blackburn, Finite groups II, Berlin-Heidelberg-New York, 1982. Zbl0477.20001MR650245
- [12] M.I. Kargapolov, On the π-completion of locally nilpotent groups, Algebra i Logika, 1 (1962), Vol. 1, pp. 5-13; (Russian) MR #27-1511. Zbl0146.03601
- [13] O.H. Kegel - B.A.F. Wehrfritz, Locally finite groups, Amsterdam-London, 1973. Zbl0259.20001MR470081
- [14] H. Kurzweil, Endliche Gruppen, Berlin-Heidelberg-New York, 1977. Zbl0381.20001MR486072
- [15] F. Leinen, Existenziell abgeschlossene Lx-Gruppen, Dissertation zur Erlangung des Doktorgrades, Albert-Ludwigs-Universität Freiburg i. Br., 1984.
- [16] A. Macintyre - S. Shelah, Uncountable universal locally finite groups, J. Algebra, 43 (1976), pp. 168-175. Zbl0363.20032MR439625
- [17] B. Maier, Existenziell abgeschlossene lokal endliche p-Gruppen, Arch. Math., 37 (1981), pp. 113-128. Zbl0474.20015MR640796
- [18] B.H. Neumann - H. Neumann, Embedding theorems for groups, J. London Math. Soc., 34 (1959), pp. 465-479. Zbl0102.26401MR163968
- [19] H. Neumann - J. Wiegold, Linked products and linked embeddings of groups, Math. Z., 73 (1960), pp. 1-19. Zbl0105.25801MR124386
- [20] P.M. Neumann, On the structure of standard wreath products of groups, Math. Z., 84 (1964), pp. 343-373. Zbl0122.02901MR188280
- [21] D.J.S. Robinson, Finiteness conditions and generalized soluble groups, Parts 1 & 2, Berlin-Heidelberg-New York, 1972. Zbl0243.20032MR332989
- [22] V. Stingl, Radikale und koradikaleRegeln, Rend. Sem. Mat. Univ. Padova, 72 (1984), pp. 343-355. Zbl0562.20017MR778350
- [23] S. Thomas, Complete existentially closed locally finite groups, Arch. Math.44 (1985), pp. 97-109. Zbl0563.20037MR780255
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.