The equivalence of some conjectures of Dade and Robinson

Eaton, Charles W. (2004) The equivalence of some conjectures of Dade and Robinson. Journal of Algebra, 271 (2). pp. 638-651. ISSN 0021-8669

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Abstract

We demonstrate that Conjecture 4.1 of [G.R. Robinson, Proc. London Math. Soc. (3) 72 (1996) 312–330] and Dade's projective conjecture are equivalent in a way which is compatible with the p-local rank. Further we consider refinements of these conjectures similar to those of Isaacs, Navarro and Uno, show their equivalence and demonstrate that in order to verify them it suffices to consider only those groups with no non-central normal p-subgroup.

Item Type:	Article
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations
Depositing User:	Ms Lucy van Russelt
Date Deposited:	14 Aug 2006
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/476

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