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The maximal subgroups of the Monster

open access: yesAdvances in Mathematics
The classification of the maximal subgroups of the Monster $\mathbf{M}$ is a long-standing problem in finite group theory. According to the literature, the classification is complete apart from the question of whether $\mathbf{M}$ contains maximal subgroups that are almost simple with socle $\mathrm{PSL}_2(13)$.
Dietrich, Heiko   +2 more
openaire   +3 more sources

Maximal finite subgroups and minimal classes [PDF]

open access: yesL’Enseignement Mathématique, 2015
We apply Voronoi’s algorithm to compute representatives of the conjugacy classes of maximal finite subgroups of the unit group of a maximal order in some simple \mathbf Q -algebra.
Renaud Coulangeon, Gabriele Nebe
openaire   +2 more sources

Classification and properties of the $$\pi $$ π -submaximal subgroups in minimal nonsolvable groups

open access: yesBulletin of Mathematical Sciences, 2017
Let $$\pi $$ π be a set of primes. According to H. Wielandt, a subgroup H of a finite group X is called a $$\pi $$ π -submaximal subgroup if there is a monomorphism $$\phi :X\rightarrow Y$$ ϕ:X→Y into a finite group Y such that $$X^\phi $$ Xϕ is ...
Wenbin Guo, Danila O. Revin
doaj   +1 more source

Maximal 3-local subgroups of symmetric groups [PDF]

open access: yesSongklanakarin 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
doaj  

Finite groups whose maximal subgroups of even order are MSN-groups

open access: yesOpen Mathematics, 2022
A finite group GG is called an MSN-group if all maximal subgroups of the Sylow subgroups of GG are subnormal in GG. In this article, we investigate the structure of finite groups GG such that GG is a non-MSN-group of even order in which every maximal ...
Wang Wanlin, Guo Pengfei
doaj   +1 more source

ON A GRAPH RELATED TO THE MAXIMAL SUBGROUPS OF A GROUP [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2010
AbstractLet G be a finitely generated group. We investigate the graph ΓM(G), whose vertices are the maximal subgroups of G and where two vertices M1 and M2 are joined by an edge whenever M1∩M2≠1. We show that if G is a finite simple group then the graph ΓM(G) is connected and its diameter is 62 at most. We also show that if G is a finite group, then ΓM(
M. HERZOG   +2 more
openaire   +3 more sources

Finite p′-nilpotent groups. II

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1987
In this paper we continue the study of finite p′-nilpotent groups that was started in the first part of this paper. Here we give a complete characterization of all finite groups that are not p′-nilpotent but all of whose proper subgroups are p′-nilpotent.
S. Srinivasan
doaj   +1 more source

Psychosocial Functioning After Pediatric Bone Sarcoma: Generic and Survivor‐Specific Outcomes in Adolescent and Young Adult Patients

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Pediatric bone sarcoma patients and survivors may experience psychosocial challenges related to childhood cancer after their intensive, body‐altering treatment. This cross‐sectional study aimed to evaluate generic and survivor‐specific psychosocial outcomes in a national cohort of pediatric bone sarcoma patients and survivors, and ...
Hinke van der Hoek   +14 more
wiley   +1 more source

Re‐Irradiation in Pediatric Diffuse Midline Glioma: A Multi‐Institutional Retrospective Study

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Children with recurrent diffuse midline gliomas (DMGs) have limited therapeutic options at recurrence. Re‐irradiation (RT2) may be used at progression, but with uncertainty about the benefit. Methods We conducted a multi‐institutional retrospective study of children aged < 18 with DMG treated at three centers (Toronto, Canada ...
Ajay Thomas Alex   +13 more
wiley   +1 more source

Measurable Residual Disease Monitoring During Treatment for Pediatric Acute Myeloid Leukemia in First Relapse

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Survival after relapse in pediatric acute myeloid leukemia (AML) remains poor, highlighting the critical importance of identifying prognostic factors to guide optimal relapse management. Methods We investigated the prognostic impact of multiparameter flow cytometry (MFC) measurable residual disease (MRD) in 188 patients with first ...
Camilla Poulsen   +21 more
wiley   +1 more source

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