Results 41 to 50 of about 20,469,654 (240)
Three embeddings of the Klein simple group into the Cremona group of rank three [PDF]
, 2011 We study the action of the Klein simple group G consisting of 168 elements on two rational threefolds: the three-dimensional projective space and a smooth Fano threefold X of anticanonical degree 22 and index 1.
A Marini +24 more
core +2 more sources
A Characterization of the finite simple group L4(3)
Journal of the Australian Mathematical Society, 1969 In this paper we aim to give a characterization of the finite simple group L4(3) (i.e. PSL(4, 3)) by the structure of the centralizer of an involution contained in the centre of its Sylow 2-subgroup. More precisely, we shall prove the following result.
Kok-Wee Phan
semanticscholar +1 more source
Journal of Algebra, 1977 AbstractRecently, Thompson [9] constructed a new simple group E of order 215 ∘ 3105372 ∘ 13 ∘ 19 ∘ 31 = 90, 745, 943, 887, 872, 000. In particular, E contains only one conjugacy class of involutions, and if e is an involution in E then CE(e) is a (nonsplit) extension of an extra-special 2-group of order 29 by A9, the alternating group of degree 9.The ...
openaire +2 more sources
Simple groups without lattices [PDF]
Bulletin of the London Mathematical Society, 2012 We show that the group of almost automorphisms of a d-regular tree does not admit lattices. As far as we know this is the first such example among (compactly generated) simple locally compact groups.
Shahar Mozes +3 more
openaire +3 more sources
Product decompositions in finite simple groups [PDF]
, 2011 We propose a general conjecture on decompositions of finite simple groups as products of conjugates of an arbitrary subset. We prove this conjecture for bounded subsets of arbitrary finite simple groups, and for large subsets of groups of Lie type of bounded rank.
arxiv +1 more source
Tame group actions on central simple algebras
, 2007 We study actions of linear algebraic groups on finite-dimensional central simple algebras. We describe the fixed algebra for a broad class of such actions.Comment: 19 pages, LaTeX; slightly revised; final version will appear in Journal of ...
Farb +17 more
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A NEW FINITE SIMPLE GROUP WITH ABELIAN 2-SYLOW SUBGROUPS.
Proceedings of the National Academy of Sciences of the United States of America, 1965 A 2-Sylow subgroup of J is elementary abelian of order 8 and J has no subgroup of index 2. If r is an involution in J, then C(r) = (r) X K, where K _ A5.
Z. Janko
semanticscholar +1 more source
Finite simple groups and localization [PDF]
Israel Journal of Mathematics, 2002 The purpose of this paper is to explore the concept of localization, which comes from homotopy theory, in the context of finite simple groups. We give an easy criterion for a finite simple group to be a localization of some simple subgroup and we apply it in various cases.
Rodríguez, José L. +2 more
openaire +4 more sources
Population Ecology, EarlyView.In the process of captive breeding and reintroduction of endangered animal species, it is crucial to minimize familial bias in reproductive success during the reintroduction phase to preserve genetic diversity. In this study, we attempted to identify the familial lineage of individuals of the endangered bagrid fish Tachysurus ichikawai born at the ...
Hinano Mizuno +5 more
wiley +1 more source
Integral group ring of the McLaughlin simple group [PDF]
, 2007 We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the McLaughlin sporadic group McL.
Bódi, Viktor, Konovalov, A. B.
core +1 more source