Results 1 to 10 of about 580,983 (269)
Infinite locally finite simple groups with many complemented subgroups [PDF]
International Journal of Group Theory, 2022 We prove that the following families of (infinite) groups have complemented subgroup lattice: alternating groups, finitary symmetric groups, Suzuki groups over an infinite locally finite field of characteristic $2$, Ree groups over an infinite ...
Maria Ferrara, Marco Trombetti
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Locally finite groups of finite centralizer dimension [PDF]
Journal of Group Theory, 2018 We describe the structure of locally finite groups of finite centralizer dimension.
A. Borovik, Ulla Karhumäki
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Locally Finite Groups Saturated with Direct Product of Two Finite Dihedral Groups
Известия Иркутского государственного университета: Серия "Математика", 2023 In the study of infinite groups, as a rule, some finiteness conditions are imposed. For example, the group is required to be periodic, Shunkov group, Frobenius group, locally finite group.
A. V. Kukharev, A.A. Shlepkin
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Classification of Uniform Roe algebras of locally finite groups [PDF]
Journal of operator theory, 2017 We study the uniform Roe algebras associated to locally finite groups. We show that for two countable locally finite groups $\Gamma$ and $\Lambda$, the associated uniform Roe algebras $C^*_u(\Gamma)$ and $C^*_u(\Lambda)$ are $*$-isomorphic if and only if
Kang Li, Hung-Chang Liao
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Centralisers of finite groups in locally finite simple groups [PDF]
Communications in Algebra, 2022 10 ...
David J. Benson
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CHARACTERIZATIONS OF LOCALLY FINITE ACTIONS OF GROUPS ON SETS [PDF]
Glasgow Mathematical Journal, 2017 We show that an action of a group on a set X is locally finite if and only if X is not equidecomposable with a proper subset of itself. As a consequence, a group is locally finite if and only if its uniform Roe algebra is finite.
Eduardo Scarparo
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A note on locally finite group algebras [PDF]
Proceedings of the American Mathematical Society, 1975 We obtain an injectivity condition for group algebras which is equivalent to local finiteness.
D. Farkas
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A finiteness condition on centralizers in locally finite groups [PDF]
Monatshefte für Mathematik, 2015 11 pages, submitted to an international journal.
Gustavo A. Fernández‐Alcober +3 more
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Locally Finite Groups with Bounded Centralizer Chains [PDF]
, 2013 The c-dimension of a group G is the maximal length of a chain of nested centralizers in G. We prove that a locally finite group of finite c-dimension k has less than 5k non-Abelian composition factors.
A. A. Buturlakin +2 more
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On locally finite groups whose cyclic subgroups are monopronormal
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika, 2017 The description of locally finite groups whose cyclic subgroups are monopronormal was obtained.
A.A. Pypka
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