Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Subgroups of finite soluble groups inducing
the same permutation character

Author: Norberto Gavioli
Journal: Trans. Amer. Math. Soc. 349 (1997), 2969-2980
MSC (1991): Primary {20C99, 20D10}
MathSciNet review: 1370642
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper there are found necessary and sufficient conditions that a pair of solvable finite groups, say $G$ and $K$, must satisfy for the existence of a solvable finite group $L$ containing two isomorphic copies of $G$ and $H$ inducing the same permutation character. Also a construction of $L$ is given as an iterated wreath product, with respect to their actions on their natural modules, of finite one-dimensional affine groups.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): {20C99, 20D10}

Retrieve articles in all journals with MSC (1991): {20C99, 20D10}

Additional Information

Norberto Gavioli
Affiliation: Dipartimento di Matematica Pura ed Applicata, Università de L’Aquila, via Vetoio, I-67010 Coppito (AQ), Italy

PII: S 0002-9947(97)01696-6
Keywords: Permutation character of finite groups, finite solvable groups
Received by editor(s): October 7, 1994
Received by editor(s) in revised form: January 4, 1996
Additional Notes: Work partially supported by M.U.R.S.T
Article copyright: © Copyright 1997 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia