Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Free products of finitary linear groups
HTML articles powered by AMS MathViewer

by Orazio Puglisi PDF
Proc. Amer. Math. Soc. 124 (1996), 1027-1033 Request permission

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 $p\geq 0$, is still finitary linear over a field of characteristic $p$.
References
  • 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.
  • J. I. Hall, Finitary linear transformation groups and elements of finite local degree, Arch. Math. (Basel) 50 (1988), no. 4, 315–318. MR 937332, DOI 10.1007/BF01190224
  • Otto H. Kegel and Bertram A. F. Wehrfritz, Locally finite groups, North-Holland Mathematical Library, Vol. 3, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1973. MR 0470081
  • Felix Leinen, Hypercentral unipotent finitary skew linear groups, Comm. Algebra 22 (1994), no. 3, 929–949. MR 1261015, DOI 10.1080/00927879408824886
  • U. Meierfrankenfeld, Ascending subgroups of irreducible finitary linear groups, J. London Math. Soc. (2) 51 (1995), 75–92.
  • Wilhelm Magnus, Abraham Karrass, and Donald Solitar, Combinatorial group theory, Second revised edition, Dover Publications, Inc., New York, 1976. Presentations of groups in terms of generators and relations. MR 0422434
  • Peter M. Neumann, The structure of finitary permutation groups, Arch. Math. (Basel) 27 (1976), no. 1, 3–17. MR 401928, DOI 10.1007/BF01224634
  • Richard E. Phillips, The structure of groups of finitary transformations, J. Algebra 119 (1988), no. 2, 400–448. MR 971142, DOI 10.1016/0021-8693(88)90068-3
  • Derek John Scott Robinson, A course in the theory of groups, Graduate Texts in Mathematics, vol. 80, Springer-Verlag, New York-Berlin, 1982. MR 648604
  • B. A. F. Wehrfritz, Infinite linear groups. An account of the group-theoretic properties of infinite groups of matrices, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 76, Springer-Verlag, New York-Heidelberg, 1973. MR 0335656
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
  • 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 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 1027-1033
  • MSC (1991): Primary 20E06, 20F29
  • DOI: https://doi.org/10.1090/S0002-9939-96-03364-3
  • MathSciNet review: 1327039