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Central Extensions and Groups with Quotients Periodic Infinite [PDF]
Advances in Group Theory and Applications, 2023 For an arbitrary family of groups without involutions and any Abelian group D we construct a group AD(G) such that the center of AD(G) coincides with D, and the quotient group of the group AD(G) by the subgroup D coincides with the n-periodic product of ...
V.S. Atabekyan
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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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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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Multiplicity of periodic solutions in bistable equations [PDF]
, 2006 We study the number of periodic solutions in two first-order non-autonomous differential equations, both of which have been used to describe, among other things, the mean magnetization of an Ising magnet in a time-varying external magnetic field.
Grinfeld, Michael, Berkolaiko, Gregory
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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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Groups Satisfying the Double Chain Condition on Subnormal Non-Normal Subgroups [PDF]
Advances in Group Theory and Applications, 2022 If θ is a subgroup property, a group G is said to satisfy the double chain condition on θ-subgroups if it admits no infinite double sequences consisting of θ-subgroups.
Mattia Brescia, Francesco de Giovanni
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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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On Two Properties of Shunkov Group
Известия Иркутского государственного университета: Серия "Математика", 2021 One of the interesting classes of mixed groups ( i.e. groups that can contain both elements of finite order and elements of infinite order) is the class of Shunkov groups. The group $G$ is called Shunkov group if for any finite subgroup $H$ of $G$ in the
A.A. Shlepkin, I. V. Sabodakh
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The Tits alternative for non-spherical Pride groups [PDF]
, 2008 Pride groups, or 'groups given by presentations in which each defining relator involves at most two types of generators', include Coxeter groups, Artin groups, triangles of groups, and Vinberg's groups defined by periodic paired relations.
Williams, Gerald +5 more
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