Results 41 to 50 of about 280 (183)
Partially S-embedded minimal subgroups of finite groups [PDF]
International Journal of Group Theory, 2013 Suppose that H is a subgroup of G, then H is said to be s-permutable in G, if H permutes with every Sylow subgroup of G. If HP=PH hold for every Sylow subgroup P of G with (|P|, |H|)=1), then H is called an s-semipermutable subgroup of G.
Tao Zhao, Qingliang Zhang
doaj
On the finite groups whose Sylow 3-subgroup normalizes a Sylow 3′-subgroup [PDF]
Siberian Mathematical Journal, 2015 First of all the title of the paper is misleading, maybe due to translation. The author investigates finite groups in which a Sylow 3-subgroup is normalized by a Sylow \(s\)-subgroup, \(s>3\). He gives an overview over the nonabelian composition factors.
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The Sylow Subgroups of a Finite Reductive Group [PDF]
Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES, 2018 version ...
Enguehard, Michel, Michel, Jean
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The probability of generating finite and profinite groups
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract Famously, every finite simple group G$G$ can be generated by a pair of elements. Moreover, Liebeck and Shalev (1995) proved that the probability that a pair of elements generate G$G$ tends to 1 as |G|→∞$|G| \rightarrow \infty$. In this paper, we generalize this theorem of Liebeck and Shalev. Work of Lucchini and Menegazzo (1997) implies that a
Scott Harper, Martyn Quick
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On Π-Normal Subgroups and the p-Supersolvability of Finite Groups
AxiomsRather than using all maximal subgroups of a Sylow p-subgroup, we work with a prescribed subfamily. For a p-solvable group G, we show that p-supersolvability follows when the members of this subfamily are Π-normal in the Sylow normalizer and when G ...
Jiawen He +3 more
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Subgroups Permutable with All Sylow Subgroups
Journal of Algebra, 1998 Die vorliegende Arbeit betrachtet sich als Fortsetzung zu einem Ergebnis von \textit{O. H. Kegel} [Math. Z. 78, 205-221 (1962; Zbl 0102.26802)]. Zudem weist der Verfasser auf Resultate von \textit{P. B. Kleidman} [Ann. Math., II. Ser. 133, No. 2, 369-428 (1991; Zbl 0726.20012)] zur Vermutung von Kegel und Wielandt hin. Es sei \(G\) eine endliche Gruppe.
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Computing Sylow Subgroups in Permutation Groups
Journal of Symbolic Computation, 1997 This paper describes practical algorithms for the computation of Sylow subgroups of a permutation group \(G\) as well as for finding group elements that conjugate given Sylow subgroups into each other. For the first problem the following techniques have been in use: 1.
John J. Cannon +2 more
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Simple groups and complements of smooth surfaces in simply connected 4‐manifolds
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract For each integer n$n$ we construct an oriented closed simply connected 4‐manifold X$X$ admitting a smoothly embedded closed connected surface Σ$\Sigma$ of self‐intersection number n$n$ such that the complement of the surface has non‐trivial fundamental group. This answers a question of Kronheimer in Kirby's 1997 problem list.
Sam Hughes, Daniel Ruberman
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Математичні СтудіїIn the paper, the properties of infinite locally finite groups with non-Dedekind locally nil\-potent norms of Abelian non-cyclic subgroups are studied. It is proved that such groups are finite extensions of a quasicyclic subgroup and contain Abelian non ...
T. D. Lukashova, M. G. Drushlyak
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On second minimal subgroups of Sylow subgroups of finite groups
Journal of Algebra, 2011 A subgroup H of a finite group G is a partial CAP-subgroup of G if there is a chief series of G such that H either covers or avoids its chief factors. Partial cover and avoidance property has turned out to be very useful to clear up the group structure.
Ballester-Bolinches, Adolfo +2 more
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