Results 41 to 50 of about 250 (183)

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, Sompong Dhompongsa   +1 more
doaj  

The singularity category and duality for complete intersection groups

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley   +1 more source

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, Bruce C. Cox, Derek F. Holt   +2 more
openaire   +1 more source

On the cohomology of finite‐dimensional nilpotent groups and Lie rings

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley   +1 more source

The Maschke property for the Sylow $p$-sub-groups of the symmetric group $S_{p^n}$ [PDF]

International Journal of Group Theory, 2018
‎‎In this paper we prove that the Maschke property holds for coprime actions on some important classes of $p$-groups like‎: ‎metacyclic $p$-groups‎, ‎$p$-groups of $p$-rank two for $p>3$ and some weaker property holds in the case of regular $p$-groups‎. ‎
David Green, ‎L. H'ethelyi, E. Horv'ath   +2 more
doaj   +1 more source

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, Esteban Romero, Ramón, Li, Yangming   +2 more
openaire   +4 more sources

Rickard's derived Morita theory: Review and outlook

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We survey the main results in Jeremy Rickard's seminal papers ‘Morita theory for derived categories’ and ‘Derived equivalences and derived functors’. These papers catalysed the later development of the Morita theory of (enhanced) compactly generated triangulated categories by Keller in the algebraic setting and by Schwede and Shipley in the ...
Gustavo Jasso, Henning Krause, Sibylle Schroll   +2 more
wiley   +1 more source

On commutativity of intuitionistic L-fuzzy groups [PDF]

Notes on IFS
In this paper, we discuss the commutativity of an intuitionistic L-fuzzy subgroup of a group. Some necessary and sufficient conditions for an intuitionistic L-fuzzy subgroup to be commutative are derived.
Poonam Kumar Sharma
doaj   +1 more source

The Sylow Subgroups of the Symmetric Group [PDF]

Transactions of the American Mathematical Society, 1904
In the Sylow theorems t we learn that if the order of a group 9 is divisible by pa (p a prime integer) and not by pa+l, then W contains one and only one set of conjugate subgroups of order pa , and any subgroup of W whose order is a power of p is a subgroup of some member of this set of conjugate subgroups of W.
openaire   +1 more source

The N‐prime graph and the Subgroup Isomorphism Problem

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We introduce a directed graph related to a group G$G$, which we call the N‐prime graph ΓN(G)$\Gamma _{\rm {N}}(G)$ of G$G$ and is a refinement of the classical Gruenberg–Kegel graph. The vertices of ΓN(G)$\Gamma _{\rm {N}}(G)$ are the primes p$p$ such that G$G$ has an element of order p$p$, and, for distinct vertices p$p$ and q$q$, the arc q→p$
Emanuele Pacifici, Ángel del Río, Marco Vergani   +2 more
wiley   +1 more source