Results 11 to 20 of about 580,983 (269)
Pro-Lie Groups: A Survey with Open Problems
Axioms, 2015 A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the formation of arbitrary products and closed subgroups and forms a complete ...
Karl H. Hofmann, Sidney A. Morris
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Centralizers in simple locally finite groups [PDF]
International Journal of Group Theory, 2013 This is a survey article on centralizers of finitesubgroups in locally finite, simple groups or LFS-groups as wewill call them. We mention some of the open problems aboutcentralizers of subgroups in LFS-groups and applications of theknown information ...
Mahmut Kuzucuoğlu
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Centralizers of subgroups in simple locally finite groups [PDF]
, 2012 Kıvanç Ersoy, Mahmut Kuzucuoğlu
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Quantum Automorphism Groups of Connected Locally Finite Graphs and Quantizations of Discrete Groups [PDF]
International mathematics research notices, 2022 We construct for every connected locally finite graph $\Pi $ the quantum automorphism group $\operatorname{QAut} \Pi $ as a locally compact quantum group. When $\Pi $ is vertex transitive, we associate to $\Pi $ a new unitary tensor category ${\mathcal{
Lukas Rollier, S. Vaes
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LOCALLY FINITE GROUPS WHOSE SUBGROUPS HAVE FINITE NORMAL OSCILLATION [PDF]
, 2013 Francesco de Giovanni +2 more
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Groups with Finitely Many Isomorphism Classes of Non-Normal Subgroups [PDF]
Advances in Group Theory and Applications, 2020 We study groups in which the non-normal subgroups fall into finitely many isomorphism classes. We prove that a locally generalized radical group with this property is abelian-by-finite and minimax.
Leonid A. Kurdachenko +2 more
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On infinite groups whose finite quotients have restricted prime divisors [PDF]
International Journal of Group Theory, 2021 The effect of restricting the set of primes dividing the orders of the finite quotients of a group is investigated. Particular attention is paid to abelian, soluble, locally soluble and locally finite groups.
Derek J. S. Robinson
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Additivity of the algebraic entropy for locally finite groups with permutable finite subgroups [PDF]
Journal of group theroy, 2020 Additivity with respect to exact sequences is, notoriously, a fundamental property of the algebraic entropy of group endomorphisms. It was proved for abelian groups by using the structure theorems for such groups in an essential way. On the other hand, a
A. Giordano Bruno, Flavio Salizzoni
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Groups in which all Subgroups are Subnormal-by-Finite [PDF]
Advances in Group Theory and Applications, 2016 We prove that a locally finite group G in which every subgroup is a finite extension of a subnormal subgroup of G is nilpotent-by-\v Cernikov.
Carlo Casolo
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On Periodic Groups Saturated with Finite Frobenius Groups
Известия Иркутского государственного университета: Серия "Математика", 2021 A group is called weakly conjugate biprimitively finite if each its element of prime order generates a finite subgroup with any of its conjugate elements. A binary finite group is a periodic group in which any two elements generate a finite subgroup. If $
B. E. Durakov, A.I. Sozutov
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