Results 11 to 20 of about 364,763 (136)
Properties of groups with points [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2009 In this paper, we consider groups with points which were introduced by V.P. Shunkov in 1990. In Novikov-Adian's group, Adian's periodic products of finite groups without involutions and Olshansky's periodic monsters every non-unit element is a point ...
V.I. Senashov, E.N. Takovleva
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On the Structure of Groups whose Non-Abelian Subgroups are Serial [PDF]
Advances in Group Theory and Applications, 2016 Necessary and sufficient conditions are given for a locally finite group to have all non-abelian subgroups serial. We also obtain results for groups whose non-abelian subgroups are permutable.
M.R. Dixon, L.A. Kurdachenko, N.N. Semko
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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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On groups covered by locally nilpotent subgroups [PDF]
, 2016 Let N be the class of pronilpotent groups, or the class of locally nilpotent profinite groups, or the class of strongly locally nilpotent profinite groups. It is proved that a profinite group G is finite-by-N if and only if G is covered by countably many
Detomi, Eloisa +2 more
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On the Existence of $f$-local Subgroups in a Group with Finite Involution
Известия Иркутского государственного университета: Серия "Математика", 2022 An $f$-local subgroup of an infinite group is each its infinite subgroup with a nontrivial locally finite radical. An involution is said to be finite in a group if it generates a finite subgroup with each conjugate involution.
A.I. Sozutov, M. V. Yanchenko
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On groups satisfying the double chain condition on nonascendant subgroups [PDF]
International Journal of Group Theory, 2023 If $\theta$ is a subgroup property, a group $G$ is said to satisfy the double chain condition on $\theta$-subgroups if it admits no infinite double chain ...
Jia Zhang
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Some remarks about groups of finite special rank [PDF]
Advances in Group Theory and Applications, 2016 The paper presents some results about groups of finite special and section ranks. For instance, among others, it was proved that if every locally (soluble minimax) subgroup of a generalized radical group G has finite special rank, then G has finite ...
L.A. Kurdachenko +2 more
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Sur l'existence du sch\'ema en groupes fondametal [PDF]
Épijournal de Géométrie Algébrique, 2020 Let $S$ be a Dedekind scheme, $X$ a connected $S$-scheme locally of finite type and $x\in X(S)$ a section. The aim of the present paper is to establish the existence of the fundamental group scheme of $X$, when $X$ has reduced fibers or when $X$ is ...
Marco Antei +2 more
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Measure equivalence rigidity of the mapping class group [PDF]
, 2006 We show that the mapping class group of a compact orientable surface with higher complexity has the following extreme rigidity in the sense of measure equivalence: if the mapping class group is measure equivalent to a discrete group, then they are ...
Anantharaman-Delaroche +22 more
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On the graph condition regarding the $F$-inverse cover problem [PDF]
, 2015 In their paper titled "On $F$-inverse covers of inverse monoids", Auinger and Szendrei have shown that every finite inverse monoid has an $F$-inverse cover if and only if each finite graph admits a locally finite group variety with a certain property. We
Szakács, Nóra
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