Centralizers of Involutions in Locally Finite-Simple Groups
A. Berkman, M. Kuzucuoglu, E. Özyurt (2007)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Automorphism groups of right-angled buildings: simplicity and local splittings”
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This paper is devoted to the following question. Suppose that a Polish group G has the property that some non-empty open subset U is covered by finitely many two-sided translates of every other non-empty open subset of G. Is then G necessarily locally compact? Polish groups which do not have the above property are called strongly non-locally compact. We characterize strongly non-locally compact Polish subgroups of in terms of group actions, and prove that certain natural classes of...
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A subgroup H of a group G is inert if |H: H ∩ H g| is finite for all g ∈ G and a group G is totally inert if every subgroup H of G is inert. We investigate the structure of minimal normal subgroups of totally inert groups and show that infinite locally graded simple groups cannot be totally inert.
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Inert subgroups of uncountable locally finite groups
Barbara Majcher-Iwanow (2003)
Commentationes Mathematicae Universitatis Carolinae
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Let be an uncountable universal locally finite group. We study subgroups such that for every , .