Results 21 to 30 of about 1,238 (80)
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 393-395, 1997., 1995 Let G be a finite group and H be an operator group of G. In this short note, we show a relationship between subnormal subgroup chains and H‐invariant subgroup chains. We remark that the structure of H is quite restricted when G has a special H‐invariant subgroup chain.
Yanming Wang
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, 2021 Research and Practice in Thrombosis and Haemostasis, Volume 5, Issue S2, October 2021.
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Strong subgroup recurrence and the Nevo–Stuck–Zimmer theorem
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract Let Γ$\Gamma$ be a countable group and Sub(Γ)$\mathrm{Sub}(\Gamma)$ its Chabauty space, namely, the compact Γ$\Gamma$‐space consisting of all subgroups of Γ$\Gamma$. We call a subgroup Δ∈Sub(Γ)$\Delta \in \mathrm{Sub}(\Gamma)$ a boomerang subgroup if for every γ∈Γ$\gamma \in \Gamma$, γniΔγ−ni→Δ$\gamma ^{n_i} \Delta \gamma ^{-n_i} \rightarrow ...
Yair Glasner, Waltraud Lederle
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Normalizers and centralizers of subnormal subsystems of fusion systems
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract Every saturated fusion system corresponds to a group‐like structure called a regular locality. In this paper we study (suitably defined) normalizers and centralizers of partial subnormal subgroups of regular localities. This leads to a reasonable notion of normalizers and centralizers of subnormal subsystems of fusion systems.
Ellen Henke
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Weakly subnormal subgroups and variations of the Baer–Suzuki theorem
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract A subgroup R$R$ of a finite group G$G$ is weakly subnormal in G$G$ if R$R$ is not subnormal in G$G$ but it is subnormal in every proper overgroup of R$R$ in G$G$. In this paper, we first classify all finite groups G$G$ that contains a weakly subnormal p$p$‐subgroup for some prime p$p$.
Robert M. Guralnick +2 more
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On locally finite groups whose derived subgroup is locally nilpotent
Mathematische Nachrichten, Volume 297, Issue 12, Page 4389-4400, December 2024.Abstract A celebrated theorem of Helmut Wielandt shows that the nilpotent residual of the subgroup generated by two subnormal subgroups of a finite group is the subgroup generated by the nilpotent residuals of the subgroups. This result has been extended to saturated formations in Ballester‐Bolinches, Ezquerro, and Pedreza‐Aguilera [Math. Nachr.
Marco Trombetti
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Morita equivalence classes of 2‐blocks with abelian defect groups of rank 4
Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.Abstract We classify all 2‐blocks with abelian defect groups of rank 4 up to Morita equivalence. The classification holds for blocks over a suitable discrete valuation ring as well as for those over an algebraically closed field. An application is that Broué's abelian defect group conjecture holds for all blocks under consideration here.
Charles W. Eaton, Michael Livesey
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Abstracts from the 54th European Society of Human Genetics (ESHG) Conference: e-Posters. [PDF]
Eur J Hum Genet, 2022 europepmc +1 more source
Chlorpromazine versus placebo for schizophrenia. [PDF]
Cochrane Database Syst Rev, 2014 Adams CE +4 more
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