Results 1 to 10 of about 57,623,351 (58)

Locally finite groups with all subgroups either subnormal or nilpotent-by-Chernikov [PDF]

Open Mathematics, 2012
Let G be a locally finite group satisfying the condition given in the title and suppose that G is not nilpotent-by-Chernikov. It is shown that G has a section S that is not nilpotent-by-Chernikov, where S is either a p-group or a semi-direct product of ...
Giovanni Cutolo
exaly   +13 more sources

On nilpotent Chernikov p-groups with elementary tops [PDF]

Archiv Der Mathematik, 2014
The description of nilpotent Chernikov p-groups with elementary tops is reduced to the study of tuples of skew-symmetric bilinear forms over the residue field $${\mathbb{F}_p}$$Fp .
Yuriy Drozd
exaly   +5 more sources

Groups with all subgroups subnormal or nilpotent-by-Chernikov

Rendiconti del Seminario Matematico della Università di Padova, 2011
An important result by \textit{W. Möhres} [Arch. Math. 54, No. 3, 232-235 (1990; Zbl 0663.20027)] shows that any group in which all subgroups are subnormal is soluble. Using this theorem, \textit{H. Smith} [Topics in infinite groups. Rome: Aracne. Quad. Mat.
Howard Smith
semanticscholar   +4 more sources

Locally finite p-groups with all subgroups either subnormal or nilpotent-by-Chernikov [PDF]

International Journal of Group Theory, 2012
We pursue further our investigation, begun in [H.~Smith, Groups with all subgroups subnormal or nilpotent-by-{C}hernikov, emph{Rend. Sem. Mat. Univ. Padova} 126 (2011), 245--253] and continued in [G.~Cutolo and H.~Smith, Locally finite groups with all ...
H. Smith, G. Cutolo
doaj   +2 more sources

On Chernikov-by-nilpotent groups [PDF]

Rendiconti Del Circolo Matematico Di Palermo
Let $$\gamma _k=[x_1,\dots ,x_k ...
Pavel Shumyatsky
exaly   +2 more sources

GROUPS WITH FINITELY MANY CONJUGACY CLASSES OF SUBGROUPS THAT ARE NOT NILPOTENT-BY-CHERNIKOV [PDF]

Glasgow Mathematical Journal, 2006
Howard Smith
semanticscholar   +2 more sources

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

, 2014
Suppose that a locally finite group $$G$$G has a 2-element $$g$$g with Chernikov centralizer. It is proved that if the involution in $$\langle g\rangle $$⟨g⟩ has nilpotent centralizer, then $$G$$G has a soluble subgroup of finite index.
Evgeny Khukhro, N. Makarenko, P. Shumyatsky   +2 more
semanticscholar   +1 more source

Mekler’s construction and Murphy’s law for 2-nilpotent groups [PDF]

Pacific Journal of Mathematics
Mekler's construction is a powerful technique for building purely algebraic structures from combinatorial ones. Its power lies in the fact that it allows various model-theoretic tameness properties of the combinatorial structure to transfer to the ...
Blaise Boissonneau, Aris Papadopoulos, P. Touchard   +2 more
semanticscholar   +1 more source

Mekler’s construction and generalized stability [PDF]

Israel Journal of Mathematics, 2017
Mekler’s construction gives an interpretation of any structure in a finite relational language in a group (nilpotent of class 2 and exponent p > 2, but not finitely generated in general).
A. Chernikov, N. Hempel
semanticscholar   +1 more source

Product of Periodic Groups

South Asian Research Journal of Engineering and Technology, 2019
: A group G is called radicable if for each element x of G and for each positive integer n there exists an element y of G such that x=y n . A group G is reduced if it has no non-trivial radicable subgroups.
B. Razzaghmaneshi
semanticscholar   +1 more source