Results 41 to 50 of about 266 (183)
Modular analogs of character formulas and minimal lifts of modular forms
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
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Maximal 3-local subgroups of symmetric groups [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2013 The subgroups in the set max G B, consisting of all maximal 3-local subgroups of G Sym n ( ) with respect to B,the normalizer of a Sylow 3-subgroup of G in G, is investigated.
Punnzeyar Patthanangkoor +1 more
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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 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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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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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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A generalisation of Cameron's base size conjecture
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract Let G⩽Sym(Ω)$G\leqslant {\rm Sym}(\Omega)$ be a finite transitive permutation group with point stabiliser H$H$. A base for G$G$ is a subset of Ω$\Omega$ whose pointwise stabiliser is trivial, and the minimal cardinality of a base is called the base size of G$G$, denoted by b(G,Ω)$b(G, \Omega)$. Equivalently, b(G,Ω)$b(G, \Omega)$ is the minimal
Marina Anagnostopoulou‐Merkouri
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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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