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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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Embedding Methods for Periodic Groups [PDF]
Proceedings of the London Mathematical Society, 1977 R. E. Phillips
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The average value of a certain number-theoretic function over the primes [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 We consider functions F:ℤ_{≥0}→ℤ_{≥0} for which there exists a positive integer n such that two conditions hold: F(p) divides n for every prime p, and for each divisor d of n and every prime p, we have that d divides F(p) iff d divides F(p mod d ...
Louis Rubin
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A periodic-like table of space groups
Acta Crystallographica Section E: Crystallographic Communications, 2023 There are about 100 chemical elements, and 200 space groups, rounding to the nearest hundreds. The elements, by virtue of the iconic periodic table, which hangs in schoolrooms worldwide, are part of our common culture.
Bart Kahr
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Maximally Almost Periodic Groups and Respecting Properties [PDF]
Descriptive Topology and Functional Analysis II, 2017 For a Tychonoff space $X$, denote by $\mathfrak{P}$ the family of topological properties $\mathcal{P}$ of being a convergent sequence or being a compact, sequentially compact, countably compact, pseudocompact and functionally bounded subset of $X ...
S. Gabriyelyan
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Central extensions of free periodic groups [PDF]
Sbornik: Mathematics, 2018 It is proved that any countable abelian group can be embedded as a centre into a -generated group such that the quotient group is isomorphic to the free Burnside group of rank 1$?> and of odd period .
S. Adian, V. S. Atabekyan
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Palindromic subshifts and simple periodic groups of intermediate growth [PDF]
, 2016 We describe a new class of groups of Burnside type, giving a procedure transforming an arbitrary non-free minimal action of the dihedral group on a Cantor set into an orbit-equivalent action of an infinite finitely generated periodic group.
V. Nekrashevych
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Linear flows on compact, semisimple Lie groups: stability and periodic orbits
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Our first purpose is to study the stability of linear flows on real, connected, compact, semisimple Lie groups. Our second purpose is to study periodic orbits of linear and invariant flows.
Simão Stelmastchuk
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On Periodic Shunkov’s Groups with Almost Layer-finite Normalizers of Finite Subgroups
Известия Иркутского государственного университета: Серия "Математика", 2021 Layer-finite groups first appeared in the work by S.~N.~Chernikov (1945). Almost layer-finite groups are extensions of layer-finite groups by finite groups.
V.I. Senashov
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Finite products sets and minimally almost periodic groups [PDF]
, 2014 We characterize those locally compact, second countable, amenable groups in which a density version of Hindman's theorem holds and those countable, amenable groups in which a two-sided density version of Hindman's theorem holds.
V. Bergelson +3 more
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