Search results for "Subgroup"
showing 10 items of 237 documents
Sylow permutable subnormal subgroups of finite groups II
2001
[EN] In this paper a local version of Agrawal's theorem about the structure of finite groups in which Sylow permutability is transitive is given. The result is used to obtain new characterisations of this class of finite groups.
A classification of C-Fuchsian subgroups of Picard modular groups
2017
Parents as Informants of their Child's Vocal and Early Language Development
1996
Continuity in vocalization and language development was examined in the longitudinal study of 94 children. Parents observed their infant's vocal development with the help of a checklist during the first year of life and reported their lexical development by using the MacArthur Communicative Development Inventories (the CDIs) at the ages of 14 and 18 months. The Reynell Developmental Language Scales (the RDLS) were administered to the children in a laboratory setting at 18 months. The vocalization checklist revealed milestones of sound production which parents reported reliably and which were significantly related to the child's later language development. The continuity in vocal and languag…
The number of maximal subgroups and probabilistic generation of finite groups
2020
[EN] In this survey we present some significant bounds for the number of maximal subgroups of a given index of a finite group. As a consequence, new bounds for the number of random generators needed to generate a finite d-generated group with high probability which are significantly tighter than the ones obtained in the paper of Jaikin-Zapirain and Pyber (Random generation of finite and profinite groups and group enumeration, Ann. Math., 183 (2011) 769-814) are obtained. The results of Jaikin-Zapirain and Pyber, as well as other results of Lubotzky, Detomi, and Lucchini, appear as particular cases of our theorems.
Quantum Dual Adversary for Hidden Subgroups and Beyond
2019
An explicit quantum dual adversary for the S-isomorphism problem is constructed. As a consequence, this gives an alternative proof that the query complexity of the dihedral hidden subgroup problem is polynomial.
Survival and quality of life after early discharge in low-risk pulmonary embolism.
2020
IntroductionEarly discharge of patients with acute low-risk pulmonary embolism requires validation by prospective trials with clinical and quality-of-life outcomes.MethodsThe multinational Home Treatment of Patients with Low-Risk Pulmonary Embolism with the Oral Factor Xa Inhibitor Rivaroxaban (HoT-PE) single-arm management trial investigated early discharge followed by ambulatory treatment with rivaroxaban. The study was stopped for efficacy after the positive results of the predefined interim analysis at 50% of the planned population. The present analysis includes the entire trial population (576 patients). In addition to 3-month recurrence (primary outcome) and 1-year overall mortality, …
On stable geometries
1994
Within the concept of projective lattice geometry we are considering the class of stable geometries which have also been introduced in [14]. The investigation of their basic properties will result in fundamental structure theorems which especially give a lattice-geometric characterization of free left modules of rank ≥6 over proper right Bezout rings of stable rank 2. This yields a proper generalization of previous results of ours.
Irreducible induction and nilpotent subgroups in finite groups
2019
Suppose that $G$ is a finite group and $H$ is a nilpotent subgroup of $G$. If a character of $H$ induces an irreducible character of $G$, then the generalized Fitting subgroup of $G$ is nilpotent.
A self-centralizing characteristic subgroup
1989
AbstractIn this note we introduce a self-centralizing characteristic subgroup, associated with quasinilpotent injectors, of a finite group.
On finite minimal non-nilpotent groups
2005
[EN] A critical group for a class of groups X is a minimal non-X-group. The critical groups are determined for various classes of finite groups. As a consequence, a classification of the minimal non-nilpotent groups (also called Schmidt groups) is given, together with a complete proof of Gol¿fand¿s theorem on maximal Schmidt groups.