AN IDENTIFICATION THEOREM FOR GROUPS WITH SOCLE PSU
نویسندگان
چکیده
منابع مشابه
On groups with the same character degrees as almost simple groups with socle Mathieu groups
Let G be a finite group and cd(G) denote the set of complex irreducible character degrees of G. In this paper, we prove that if G is a finite group and H is an almost simple group whose socle is a Mathieu group such that cd(G) = cd(H), then there exists an abelian subgroup A of G such that G/A is isomorphic to H. In view of Huppert’s conjecture (2000), we also provide some examples to show that...
متن کاملSocle Series of Cohomology Groups of Line Bundles on G/B Short running title: Socle Series of Cohomology Groups
The G-module structure of the cohomology groups of line bundles over the flag variety G/B for a semisimple algebraic group G is studied. It is proved that, generically, their socle filtrations satisfy the same sum formula as Andersen’s filtrations if Lusztig’s conjecture is true. Another purpose of this paper is to calculate the socle series of the H0’s for the p-regular weights close to a cham...
متن کاملAn Effective Compactness Theorem for Coxeter Groups
Through highly non-constructive methods, works by Bestvina, Culler, Feighn, Morgan, Rips, Shalen, and Thurston show that if a finitely presented group does not split over a virtually solvable subgroup, then the space of its discrete and faithful actions on Hn, modulo conjugation, is compact for all dimensions. Although this implies that the space of hyperbolic structures of such groups has fini...
متن کاملA Generic Identification Theorem for Groups of Finite Morley Rank
This paper contains a final identification theorem for the ‘generic’ K*groups of finite Morley rank.
متن کاملThe Socle of Automorphism Groups of Linear Spaces
This note is part of a general programme to classify the automorphism groups of finite linear spaces. There have been a number of contributions to this programme, including two recent surveys [8, 3]. One of the most significant contributions was the classification of flag-transitive linear spaces [2]. Since then, the effort has been to classify the line-transitive examples. These fall naturally...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 2012
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788712000390