Results 11 to 20 of about 44,755 (189)
Decomposing locally compact groups into simple pieces [PDF]
, 2008 We present a contribution to the structure theory of locally compact groups. The emphasis is on compactly generated locally compact groups which admit no infinite discrete quotient.
Bourbaki +18 more
core +2 more sources
Internal Direct Products and the Universal Property of Direct Product Groups
Formalized Mathematics, 2023 This is a “quality of life” article concerning product groups, using the Mizar system [2], [4]. Like a Sonata, this article consists of three movements.
Alexander M. Nelson
semanticscholar +1 more source
Nonmeasurable subgroups of compact groups [PDF]
, 2014 In 1985 S.~Saeki and K.~Stromberg published the following question: {\it Does every infinite compact group have a subgroup which is not Haar measurable?} An affirmative answer is given for all compact groups with the exception of some metric profinite ...
Hernández, Salvador +2 more
core +5 more sources
On the one-endedness of graphs of groups [PDF]
, 2015 We give a technical result that implies a straightforward necessary and sufficient conditions for a graph of groups with virtually cyclic edge groups to be one ended.
Touikan, Nicholas
core +1 more source
Conjugacy classes of maximal cyclic subgroups [PDF]
Journal of group theroy, 2022 In this paper, we study the number of conjugacy classes of maximal cyclic subgroups of a finite group 𝐺, denoted η ( G ) \eta(G) . First we consider the properties of this invariant in relation to direct and semi-direct products, and we characterize ...
M. Bianchi +3 more
semanticscholar +1 more source
On the intersection of free subgroups in free products of groups [PDF]
, 2007 Let (G_i | i in I) be a family of groups, let F be a free group, and let G = F *(*I G_i), the free product of F and all the G_i. Let FF denote the set of all finitely generated subgroups H of G which have the property that, for each g in G and each i in ...
Cauchy +9 more
core +2 more sources
On strongly just infinite profinite branch groups
, 2016 For profinite branch groups, we first demonstrate the equivalence of the Bergman property, uncountable cofinality, Cayley boundedness, the countable index property, and the condition that every non-trivial normal subgroup is open; compact groups enjoying
Maître, François Le, Wesolek, Phillip
core +2 more sources
Residual properties of graph products of groups [PDF]
, 2015 We prove that the class of residually 𝒞 groups is closed under taking graph products, provided that 𝒞 is closed under taking subgroups, finite direct products and that free-by-𝒞 groups are residually 𝒞.
Federico Berlai, Michal Ferov
semanticscholar +1 more source
On the residual and profinite closures of commensurated subgroups
, 2019 The residual closure of a subgroup $H$ of a group $G$ is the intersection of all virtually normal subgroups of $G$ containing $H$. We show that if $G$ is generated by finitely many cosets of $H$ and if $H$ is commensurated, then the residual closure of ...
Caprace, Pierre-Emmanuel +3 more
core +1 more source
Theta Groups and Products of Abelian and Rational Varieties [PDF]
Proceedings of the Edinburgh Mathematical Society, 2010 We prove that an analogue of Jordan's theorem on finite subgroups of general linear groups does not hold for the groups of birational automorphisms of products of an elliptic curve and the projective line. This gives a negative answer to a question posed
Y. Zarhin
semanticscholar +1 more source