Results 121 to 130 of about 9,034,965 (157)

Central-by-Chernikov groups are compact co-Chernikov CC-groups

Annali Di Matematica Pura Ed Applicata, 2003
Generalizing cofinite groups, M.R. Dixon [Glasgow Math. J. 23 (1982)] has shown how a residually Chernikov group can be made into a topological space, which is called a co-Chernikov group. A co-Chernikov group can be embedded in a compact co-Chernikov group, its pro-Chernikov completion.
Javier Otal
exaly   +2 more sources

Groups with Chernikov factor-group by hypercentral

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2014
In this interesting paper the authors extend some classical theorems involving the terms and the factor groups of the central series of a group. They show that a periodic hypercentral-by-Chernikov group is Chernikov-by-hypercentral and obtain explicit bounds that describe numerical invariants of the second structure of the group as a function of the ...
Leonid Kurdachenko, Javier Otal
exaly   +2 more sources

Characterization of a certain class of chernikov groups

Algebra and Logic, 1987
See the review in Zbl 0654.20035.
V P Shunkov
exaly   +3 more sources

Characterization of infinite Chernikov groups

Ukrainian Mathematical Journal, 1990
See the review in Zbl 0705.20038.
Sesekin, N. F., Shumyatskij, P. V.
exaly   +3 more sources

Embedding theorems for groups with involutions and a characterization of Chernikov groups

Algebra and Logic, 1988
See the review in Zbl 0657.20029.
V P Shunkov
exaly   +4 more sources

Characterization of groups with generalized chernikov periodic part

Mathematical Notes, 2000
A Chernikov group is a finite extension of a direct product of finitely many quasicyclic groups. A generalized Chernikov group \(G\) is an extension of a direct product \(A\) of quasicyclic \(p\)-groups with finitely many factors for each prime \(p\) by a locally normal group \(B\), where each element of \(G\) is element-wise permutable with all but a ...
V I Senashov
exaly   +3 more sources

Chernikov p-groups and integral p-adic representations of finite groups

Ukrainian Mathematical Journal, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P M Gudivok
exaly   +2 more sources

On groups whose all proper subgroups have Chernikov derived subgroups

Journal of Mathematical Sciences, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mykola Semko
exaly   +2 more sources

ON GROUPS WHOSE PROPER SUBGROUPS ARE CHERNIKOV-BY-BAER OR (PERIODIC DIVISIBLE ABELIAN)-BY-BAER

Journal of Algebra and Its Applications, 2013
If 𝔛 is a class of groups, then a group G is called a minimal non-𝔛-group if it is not an 𝔛-group but all of its proper subgroups belong to 𝔛. In this paper we prove that locally graded minimal non-(Chernikov-by-nilpotent)-groups are precisely minimal non-nilpotent-groups without maximal subgroups and that locally graded minimal non-(Chernikov-by-Baer)
ARIKAN, AHMET, Trabelsi, Nadir
openaire   +3 more sources