Results 31 to 40 of about 250 (183)
GROUPS WITH ABELIAN SYLOW SUBGROUPS [PDF]
Journal of the Australian Mathematical Society, 2009 AbstractFinite groups with abelian Sylow p-subgroups for certain primes p are characterized in terms of arithmetical properties of commutators.
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A note on transfer theorems [PDF]
International Journal of Group Theory, 2016 In this paper, we generalize some transfer theorems.~In particular, we derive one of the main results of Gagola(Contemp Math 524:49--60, 2010) from our results.
Haoran Yu
doaj
Some Different Results on MS-Groups and MSN-Groups [PDF]
Advances in Group Theory and Applications, 2017 Let $P$ and $Q$ be different normal Sylow subgroups of the finite group $G$. If $G/P$ and $G/Q$ are soluble $PST$-groups (respectively $BT$-groups), then $G$ is also a soluble $PST$-group (respectively $BT$-group).
James C. Beidleman
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Publications de l'Institut Mathematique, 2003 We give a new approach to description of p-Sylow subgroup normalizes in the groups Sn (symmetric group on n letters).
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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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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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Sylow subgroups and the number of irreducible characters of degrees divisible by a prime p$p$
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Let G$G$ be a finite group and p$p$ be a prime. We establish an upper bound for the derived length of a Sylow p$p$‐subgroup of G$G$ in terms of the number of irreducible characters of G$G$ whose degrees are divisible by p$p$. We also prove that if B$B$ is a p$p$‐block of a finite p$p$‐solvable group G$G$ with defect group D$D$, then the ...
James P. Cossey +3 more
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Sylow like theorems for V(ZG) [PDF]
International Journal of Group Theory, 2015 The main part of this article is a survey on torsion subgroups of the unit group of an integral group ring. It contains the major parts of my talk given at the conference "Groups, Group Rings and Related Topics" at UAEU in AlAin October 2013.
Wolfgang Kimmerle
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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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On the Lang–Trotter conjecture for Siegel modular forms
Mathematika, Volume 72, Issue 3, July 2026.Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
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