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Effects of electrode placement on electrical stimulation for wound healing. [PDF]

open access: yesSci Rep
Kim S   +6 more
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Typical thermalization of low-entanglement states. [PDF]

open access: yesCommun Phys
Bertoni C   +3 more
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Localization and finite simple groups

Israel Journal of Mathematics, 2006
Let \(H\) and \(G\) be groups. A group homomorphism from \(H\) to \(G\) is called a localization if and only if it induces a bijection between \(\Hom(G,G)\) and \(\Hom(H,G)\). Following \textit{J. L. Rodríguez, J. Scherer} and \textit{J. Thévenaz} [Isr. J. Math.
Parker, Chris, Saxl, Jan
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INVOLUTIONS IN LOCALLY FINITE GROUPS

Journal of the London Mathematical Society, 2004
Summary: The paper deals with locally finite groups \(G\) having an involution \(\varphi\) such that \(C_G(\varphi)\) is of finite rank. The following theorem gives a very detailed description of such groups. Let \(G\) be a locally finite group having an involution \(\varphi\) such that \(C_G(\varphi)\) is of finite rank.
Kuzucuoğlu, Mahmut, Shumyatsky, Pavel
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σ-Subnormality in locally finite groups

Journal of Algebra, 2023
Let \(\sigma=\{\sigma_{j} \mid j \in J\}\) be a partition of the set of prime numbers. A subgroup \(X\) of a finite group \(G\) is \(\sigma\)-subnormal if there exists a chain of subgroups \(X=X_{0} \leq X_{1} \leq \dots \leq X_{n}=G\) such that, for each \(1 \leq i \leq n\), \(X_{i-1} \trianglelefteq X_{i}\) or \(X_{i}/(X_{i-1})_{X_{i}}\) is a ...
Ferrara M., Trombetti M.
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Locally Finite Barely Transitive Groups

Algebra and Logic, 2003
Infinite transitive permutation groups all proper subgroups of which have just finite orbits are treated. Under the extra condition of being locally finite, such groups are proved to be primary, and, moreover, soluble if the stabilizer of some point is soluble.
Belyaev, V. V., Kuzucuoglu, Mahmud
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On Infinite Locally Finite Groups

Canadian Mathematical Bulletin, 1994
AbstractIf G is a group such that every infinite subset of G contains a commuting pair of elements then G is centre-by-finite. This result is due to B. H. Neumann. From this it can be shown that if G is infinite and such that for every pair X, Y of infinite subsets of G there is some x in X and some y in Y that commute, then G is abelian. It is natural
Rhemtulla, Akbar, Smith, Howard
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