Available in electronic format
Available in print format
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Integral representations for the alternating groups

Author(s): Udo Riese
Journal: Proc. Amer. Math. Soc. 130 (2002), 3515-3518.
MSC (2000): Primary 20C10, 20C30
Posted: May 1, 2002
Retrieve article in: PDF DVI PostScript
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: We show that every complex representation of an alternating group can be realized over the ring of integers of a ``small'' abelian number field.


References:

1.
G. Cliff, J. Ritter and A. Weiss, Group representations and integrality, J. Reine Angew. Math. 426 (1992), 193-202. MR 93f:20011

2.
C.W. Curtis and I. Reiner, Methods of representation theory, I, Wiley, New York, 1981. MR 82i:20001; reprint MR 90k:20001

3.
G. James and A. Kerber, The representation theory of the symmetric groups, Addison-Wesley, London, 1981. MR 83k:20003

4.
W. Knapp and P. Schmid, An extension theorem for integral representations, J. Austral. Math. Soc. (Series A) 63 (1997), 1-15. MR 98m:20014

5.
H. Leopoldt, Zur Geschlechtertheorie in abelschen Zahlkörpern, Math. Nachrichten 9 (1953), 351-362. MR 15:14d

6.
U. Riese, On integral representations for SL$(2,q)$, J. Algebra 242 (2001), 729-739.

7.
U. Riese and P. Schmid, Schur indices and Schur groups, II, J. Algebra 182 (1996), 183-200. MR 97e:20009

8.
F. Terada, A principal ideal theorem in the genus fields, Tôhoku Math. J. 23 (1971), 697-718. MR 46:5285


Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 20C10, 20C30

Retrieve articles in all Journals with MSC (2000): 20C10, 20C30


Additional Information:

Udo Riese
Affiliation: Universität Tübingen, Mathematisches Institut, Auf der Morgenstelle 10, D-72076 Tübingen, Germany
Email: udo.riese@uni-tuebingen.de

DOI: 10.1090/S0002-9939-02-06518-8
PII: S 0002-9939(02)06518-8
Received by editor(s): May 3, 2001
Received by editor(s) in revised form: July 30, 2001
Posted: May 1, 2002
Communicated by: Stephen D. Smith
Copyright of article: Copyright 2002, American Mathematical Society


  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2008, American Mathematical Society
Privacy Statement
Search the AMSPowered by Google