Results 131 to 140 of about 5,386,839 (143)

p-Groups with Černikov Centralizers of Non-Identity Elements of Prime Order

Algebra and Logic, 2001
The author proves the following theorem: Let \(G\) be a \(p\)-group, let \(a\) be an element of prime order \(p\), and let the centralizer \(C_G(a)\) be a Chernikov group. Then either \(G\) is a Chernikov group, or it has a non-locally finite section by a Chernikov subgroup with a unique maximal locally finite subgroup.
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Semigroups with certain finiteness conditions and Chernikov groups

2019
The main purpose of this short survey is to show how groups of special structure, which are accepted to be called Chernikov groups, appeared in the considerations of semigroups with certain finiteness conditions. A structure of groups with several such conditions has been described (they turned out to be special types of Chernikov groups).
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Characterization of generalized Chernikov groups among groups with involutions

Mathematical Notes, 1997
V I Senashov
exaly  

Locally finite groups with Chernikov Sylowp-subgroups

Algebra and Logic, 1981
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Locally finite groups with Chernikov classes of conjugate infinite Abelian subgroups

1988
The conjugacy class of a subgroup H is said to be Chernikov if \(G/core_ G(N_ G(H))\) is Chernikov. The author has shown previously [Izv. Vyssh. Uchebn. Zaved., Mat. 1977, No.4, 95-101 (1977; Zbl 0374.20051)] that in a periodic group G all abelian subgroups have Chernikov conjugacy classes if and only if G is centre-by-Chernikov.
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Classification of non-isomorphic groups of a certain class of Chernikov 3-groups

В цiй роботi описуються з точнiстю до iзоморфiзму деякi чернiкоськi 3-групи, що є циклiчними розширеннями повних абелевих 3-груп з умовою мiнiмальностi. Нехай ℂ3∞ — адитивна квазiциклiчна 3-група, а ℂn3∞ — зовнiшня пряма сума n екземплярiв квазiциклiчної 3-групи ℂ3∞ для деякого натурального числа n.
openaire   +1 more source

Locally finite groups containing a $$2$$ 2 -element with Chernikov centralizer

Monatshefte Fur Mathematik, 2014
Evgeny Khukhro, Pavel Shumyatsky
exaly  

Fast method for verifying Chernikov rules in Fourier-Motzkin elimination

Computational Mathematics and Mathematical Physics, 2015
exaly  

Finite-finitary, polycyclic-finitary and Chernikov-finitary automorphism groups

Colloquium Mathematicum, 2015
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Locally Finite Groups Whose Sylow Subgroups Are Chernikov

1996
openaire   +1 more source