Results 11 to 20 of about 204 (52)
Linear groups with the maximal condition on subgroups of infinite central dimension [PDF]
, 2006 Let A a vector space over a field F and let H be a subgroup of GL(F, A). We define centdimF H to be dimF (A/CA (H)). We say that H has finite central dimension if centdimF H is finite and we say that H has infinite central dimension otherwise.
Kurdachenko, L. A., Subbotin, I. Ya.
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Centralizers and Fixed Points of Automorphisms in Finite and Locally Finite Groups [PDF]
, 2020 This Habilitation thesis is a collection of former research of K. Ersoy. In Chapter 1, Introduction, an outline of his research program in general is given.
Ersoy, Kıvanç
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On the 100th birthday of Sergei Nikolaevich Chernikov [PDF]
, 2013 Chernikov's brief biography and information on the International Conference "Algebra and Linear Optimization" (Yekaterinburg, May 14-19, 2012) dedicated to his 100th birthday are presented.
Eremin, I. I., Makhnev, A. A.
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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.
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On nilpotent Chernikov $p$-groups with elementary tops
, 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 $\mathbb{F}_p$.
Drozd, Yuriy, Plakosh, Andriana
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Groups with normality conditions for subgroups of infinite rank [PDF]
, 2014 A well-known theorem of B. H. Neumann states that a group has finite conjugacy classes of subgroups if and only if it is central-by-finite. It is proved here that if G is a generalized radical group of infinite rank in which the conjugacy classes of ...
De Falco, Maria +2 more
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Profinite groups with NIP theory and p-adic analytic groups [PDF]
, 2016 We consider profinite groups as 2‐sorted first‐order structures, with a group sort, and a second sort that acts as an index set for a uniformly definable basis of neighbourhoods of the identity.
Aschenbrenner +6 more
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A note on the invariance in the nonabelian tensor product
, 2013 In the nonabelian tensor product $G\otimes H$ of two groups $G$ and $H$ many properties pass from $G$ and $H$ to $G\otimes H$. There is a wide literature for different properties involved in this passage.
Corrado Tanasi +2 more
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On Groups whose Contranormal Subgroups are Normally Complemented [PDF]
, 2011 2000 Mathematics Subject Classification: 20F16, 20E15.Groups in which every contranormal subgroup is normally complemented has been considered. The description of such groups G with the condition Max-n and such groups having an abelian nilpotent residual
Kurdachenko, L. A., Subbotin, I. Ya.
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Model theory of finite and pseudofinite groups
, 2018 This is a survey, intended both for group theorists and model theorists, concerning the structure of pseudofinite groups, that is, infinite models of the first-order theory of finite groups.
A Baudisch +67 more
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