Within the last year
Within the past 3 years
1 - 9 of 9 articles
Abstract Let 𝔉 denote the class of finite groups, and let 𝔓 denote the subclass consisting of groups of prime-power order. We study group actions on topological spaces in which all stabilizers lie either in 𝔓 or in 𝔉. We compare the classifying spaces for actions with stabilizers in...
Abstract An LR-structure on a Lie algebra 𝔤 is a bilinear product on 𝔤, satisfying certain commutativity relations, and which is compatible with the Lie product. LR-structures arise in the study of simply transitive affine actions on Lie groups. In particular one is interested in the...
Abstract We prove that a residually nilpotent group with all subgroups subnormal is hypercentral and we bound the hypercentral length of a hypercentral group with all subgroups subnormal.
Abstract Let G be an exceptional algebraic group, X a maximal rank reductive subgroup and P a parabolic subgroup. This paper classifies when X \ G / P is finite. Finiteness is proven using a reduction to finite groups and character theory. Infiniteness is proven using a dimension criterion that...
Abstract Let S be a finite simple group, and the class of poly- S groups, that is, finite groups with all composition factors isomorphic to S . A pro- S group is defined to be an inverse limit of poly- S groups. If S = C p , the finite cyclic group of order p , we get the familiar pro- p groups....
Abstract If * : G → G is an involution on the finite group G , then * extends to an involution on the integral group ring ℤ( G ). In this paper, we consider whether bicyclic units u ∈ ℤ( G ) exist with the property that the group 〈 u, u *〉 generated by u and u * is free on the two...
Abstract We prove that the universal covering of an alternating group Alt( n ) which is Hurwitz is still Hurwitz, with 31 exceptions, 30 of which are detectable by the genus formula.
Abstract This paper is concerned with the ( p 1 , p 2 , p 3 )-generation of finite groups of Lie type, where we say that a group is ( p 1 , p 2 , p 3 )-generated if it is generated by two elements of orders p 1 , p 2 having product of order p 3 . Given a triple ( p 1 , p 2 , p 3 ) of primes, we...
Abstract We show that, given a saturated fusion system, it is, under certain conditions, possible to identify SL 2 ( q ) acting on a natural module inside the normalizer of an essential subgroup. In particular, this is the case if the fusion system is non-constrained and has only one conjugacy...
Read and print from thousands of top scholarly journals.
Sign up with Facebook
Sign up with Google
Already have an account? Log in
Save this article to read later. You can see your Read Later on your DeepDyve homepage.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Sign Up Log In
To subscribe to email alerts, please log in first, or sign up for a DeepDyve account if you don’t already have one.
To get new article updates from a journal on your personalized homepage, please log in first, or sign up for a DeepDyve account if you don’t already have one.