Criteria for solvable radical membership via p-elements

Simon D. Guest, Dan Lévy

Type: Article

Publication Date: 2014-06-27

Citations: 16

DOI: https://doi.org/10.1016/j.jalgebra.2014.06.003

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Locations

Journal of Algebra - View
arXiv (Cornell University) - View - PDF

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Works That Cite This (15)

Action	Title	Year	Authors
+ PDF Chat	On the Sharp Baer–Suzuki Theorem for the $ \pi $-Radical: Sporadic Groups	2022	Ning Yang Zh. Wu D. O. Revin
+ PDF Chat	Thompson-like characterization of solubility for products of finite groups	2020	Peter Hauck Л. С. Казарин A. Martı́nez-Pastor M. D. Pérez‐Ramos
+	On $ \sigma $-Subnormality of Sylow Subgroups in a Finite Group	2021	С. Ф. Каморников V. N. Tyutyanov O. L. Shemetkova
+	Criterion of Subnormality in a Finite Group: Reduction to Elementary Binary Partitions	2021	Fei Sun X. Yi С. Ф. Каморников
+ PDF Chat	On the sharp Baer-Suzuki theorem for the $\pi$-radical of a finite group	2023	Nanying Yang Zhenfeng Wu D. O. Revin E. P. Vdovin
+	Toward a Sharp Baer–Suzuki Theorem for the π-Radical: Exceptional Groups of Small Rank	2023	Wang Zh Wenbin Guo D. O. Revin
+ PDF Chat	On the sharp Baer-Suzuki theorem for the $\pi$-radical of a finite group	2022	Nanying Yang Zhenfeng Wu D. O. Revin E. P. Vdovin
+	Baer--Suzuki theorem for the $\pi$-radical	2019	Nanying Yang D. O. Revin E. P. Vdovin
+	On the sharp Baer--Suzuki theorem for $π$-radicals: sporadic groups	2021	Nanying Yang Zhenfeng Wu D. O. Revin
+	On the sharp Baer--Suzuki theorem for the $\pi$-radical	2021	Nanying Yang Zhenfeng Wu D. O. Revin E. P. Vdovin

Works Cited by This (36)

Action	Title	Year	Authors
+	The Subgroup Structure of the Finite Classical Groups	1990	Peter B. Kleidman Martin W. Liebeck
+	Finite Group Theory	2000	Michael Aschbacher
+ PDF Chat	Involutions in Chevalley groups over fields of even order	1976	Michael Aschbacher Gary M. Seitz
+	The Classification of the Finite Simple Groups	1994	Daniel Gorenstein Richard Lyons Ronald Solomon
+	Maximal subgroups of almost simple groups with socle $\PSL(2,q)$	2007	Michael Giudici
+	The subgroup structure of some finite simple groups	1987	Peter B. Kleidman
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust
+ PDF Chat	SOLVABILITY OF FINITE GROUPS VIA CONDITIONS ON PRODUCTS OF 2-ELEMENTS AND ODD <i>p</i>-ELEMENTS	2010	Gil Kaplan Dan Lévy
+	The local structure of finite groups of characteristic 2 type	1983	Daniel Gorenstein Richard Lyons
+	The maximal subgroups of the finite 8-dimensional orthogonal groups PΩ8+(q) and of their automorphism groups	1987	Peter B. Kleidman