|
Free products of finitary linear groups
Author(s):
Orazio
Puglisi
Journal:
Proc. Amer. Math. Soc.
124
(1996),
1027-1033.
MSC (1991):
Primary 20E06, 20F29
MathSciNet review:
1327039
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
In this note we show that the free product of any family of groups which are finitary linear over fields of the same characteristic , is still finitary linear over a field of characteristic .
References:
- [A]
- B. Hartley, G. M. Seitz, A. V. Borovik, and R. M. Bryant (eds.), Finite and locally finite groups, NATO ASI Series C471, Kluwer Academic Publishers, Dordrecht, Boston, and London, 1995.
- [H]
- J. Hall, Finitary linear transformation groups and elements of finite local degree, Arch. Math. (Basel) 50 (1988), 315--318. MR 89b:20067
- [KW]
- O. H. Kegel and B. A. F. Wehrfritz, Locally finite groups, North Holland, Amsterdam - London, 1973. MR 57:9848
- [L]
- F. Leinen, Hypercentral unipotent finitary skew linear groups, Comm. Algebra 22 (1994), 929--949. MR 95d:20087
- [M]
- U. Meierfrankenfeld, Ascending subgroups of irreducible finitary linear groups, J. London Math. Soc. (2) 51 (1995), 75--92. CMP 95:6
- [MKS]
- W. Magnus, A. Karrass and D. Solitar, Combinatorial group theory, Dover, New York, 1976. MR 54:10423
- [N]
- P. M. Neumann, The structure of finitary permutation groups, Arch. Math. (Basel) 27 (1976), 3--17. MR 53:5754
- [P]
- R. E. Phillips, The structure of groups of finitary transformations, J. Algebra 119 (1988), 400--448. MR 90a:20080
- [R]
- D. J. S. Robinson, A course in the theory of groups, Springer Verlag, Berlin - Heidelberg - New York, 1982. MR 84k:20001
- [W]
- B. A. F. Wehrfritz, Infinite linear groups, Spinger, Berlin - Heidelberg - New York, 1973. MR 49:436
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (1991):
20E06, 20F29
Retrieve articles in all Journals with
MSC (1991):
20E06, 20F29
Additional Information:
Orazio
Puglisi
Affiliation:
Dipartimento di Matematica, Università degli Studi di Trento, I-38050 Povo (Trento), Italy
Email:
puglisi@alpha.science.unitn.it
DOI:
10.1090/S0002-9939-96-03364-3
PII:
S 0002-9939(96)03364-3
Received by editor(s):
October 5, 1994
Additional Notes:
The author is a member of the G.N.S.A.G.A.
Communicated by:
Ron Solomon
Copyright of article:
Copyright
1996,
American Mathematical Society
|