Results 31 to 40 of about 254,436 (287)
Monatshefte für Mathematik (Print), 2023 We prove in particular that if G is a soluble group with no non-trivial locally finite normal subgroups, then G is p-potent for every prime p for which G has no Prüfer p-sections.
B. Wehrfritz
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On groups with two isomorphism classes of central factors [PDF]
International Journal of Group Theory, 2018 The structure of groups which have at most two isomorphism classes of central factors ($B_2$-groups) are investigated. A complete description of $B_2$-groups is obtained in the locally finite case and in the nilpotent case.
Serena Siani
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On almost recognizability by spectrum of simple classical groups [PDF]
International Journal of Group Theory, 2017 The set of element orders of a finite group $G$ is called the {em spectrum}. Groups with coinciding spectra are said to be {em isospectral}. It is known that if $G$ has a nontrivial normal soluble subgroup then there exist infinitely many pairwise ...
Alexey Staroletov
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On finite totally $2$-closed groups
Comptes Rendus. Mathématique, 2022 An abstract group $G$ is called totally $2$-closed if $H=H^{(2),\Omega }$ for any set $\Omega $ with $G\cong H\le \mathrm{Sym}(\Omega )$, where $H^{(2),\Omega }$ is the largest subgroup of $\mathrm{Sym}(\Omega )$ whose orbits on $\Omega \times \Omega ...
Abdollahi, Alireza +2 more
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Finite groups in which normality, permutability or Sylow permutability is transitive
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 Y. Li gave a characterization of the class of finite soluble groups in which every subnormal subgroup is normal by means of NE-subgroups: a subgroup H of a group G is called an NE-subgroup of G if NG(H) ∩ HG = H. We obtain a new characterization of these
Malinowska Izabela Agata
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Almost finitely presented soluble groups
Commentarii Mathematici Helvetici, 1978 1.1 Finitely presented soluble groups have been investigated by several authors. Roughly speaking, their results deal with two aspects: with the subgroup structure of finitely presented soluble groups [2], [4], [7], [18], and with soluble varieties whose non-cyclic relatively free group are infinitely related [16], [3].
Bieri, Robert, Strebel, Ralph
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Finite groups with given systems of generalised σ-permutable subgroups
Журнал Белорусского государственного университета: Математика, информатика, 2021 Let σ = {σi|i ∈ I } be a partition of the set of all primes ℙ and G be a finite group. A set ℋ of subgroups of G is said to be a complete Hall σ-set of G if every member ≠1 of ℋ is a Hall σi-subgroup of G for some i ∈ I and ℋ contains exactly one Hall ...
Viktoria S. Zakrevskaya
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Mathematics, 2023 The factorization of groups into a Zappa–Szép product, or more generally into a k-fold Zappa–Szép product of its subgroups, is an interesting problem, since it eases the multiplication of two elements in a group and has recently been applied to public ...
Robert Shwartz, Hadas Yadayi
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Generating finite soluble groups
Indagationes Mathematicae, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kovács, L.G., Sim, Hyo-Seob
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Groups with minimax commutator subgroup [PDF]
International Journal of Group Theory, 2014 A result of Dixon, Evans and Smith shows that if $G$ is a locally (soluble-by-finite) group whose proper subgroups are (finite rank)-by-abelian, then $G$ itself has this property, i.e. the commutator subgroup of~$G$ has finite rank.
Francesco de Giovanni, Trombetti
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