Results 261 to 270 of about 218,992 (317)

Heart rate monitoring using wrist photoplethysmography in Parkinson disease: feasibility and relation with autonomic dysfunction

open access: yes
Veldkamp KI   +10 more
europepmc   +1 more source

Periodic Frobenius Groups

Siberian Mathematical Journal, 2023
In this paper, a Frobenius group \(G\) is a semidirect product \(G=FH\) such that \(H \cap H^{g}=\{1\}\) for every \(g \in G \setminus H\) and \(F \setminus \{1\}=G \setminus \bigcup_{g \in G} H^{g}\). The normal subgroup \(F\) is the (Frobenius) kernel of \(G\) and \(H\) is the (Frobenius) complement of \(G\).
D. V. Lytkina, V. D. Mazurov
openaire   +2 more sources

INFINITE PERIODIC GROUPS. II

Mathematics of the USSR-Izvestiya, 1968
In this paper we construct an example of an infinite periodic group with a finite number of generators, in which the orders of all the elements are bounded by a specified number. This is a solution of the well-known Burnside problem.
P S Novikov, S I Adjan
openaire   +1 more source

Infinite Groups of Finite Period

Algebra and Logic, 2015
A first, important, result of this paper is that there exist periodic groups containing elements of even order and only trivial normal \(2\)-subgroups, in which every pair of involutions generates a \(2\)-group. This proves that, in general, the Baer-Suzuki theorem cannot be extended to periodic groups and gives a negative answer to Question 11.11a in ...
Mazurov, V. D.   +2 more
openaire   +2 more sources

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