On the number of p-blocks with given defect groups and some applications of the p-power homomorphism

1986 ◽  
pp. 314-339 ◽  
Author(s):  
Shi Shengming
Keyword(s):  
Defect Groups

scholarly journals Defect groups and character heights in blocks of solvable groups. II

1984 ◽  
Vol 87 (1) ◽  
pp. 222-246 ◽  
Author(s):  
David Gluck ◽  
Thomas R Wolf
Keyword(s):  
Solvable Groups ◽  
Defect Groups

scholarly journals Character degrees in blocks and defect groups

2021 ◽  
Author(s):  
Eugenio Giannelli ◽  
J. Miquel Martínez ◽  
A.A. Schaeffer Fry
Keyword(s):  
Character Degrees ◽  
Defect Groups

scholarly journals On 2-blocks with quaternion and quasidihedral defect groups

1975 ◽  
Vol 36 (2) ◽  
pp. 212-241 ◽  
Author(s):  
Jørn Børling Olsson
Keyword(s):  
Defect Groups

scholarly journals SIMPLE MODULES IN THE AUSLANDER–REITEN QUIVER OF PRINCIPAL BLOCKS WITH ABELIAN DEFECT GROUPS

2018 ◽  
Vol 235 ◽  
pp. 58-85
Author(s):  
SHIGEO KOSHITANI ◽  
CAROLINE LASSUEUR
Keyword(s):  
Finite Group ◽  
Simple Groups ◽  
Finite Simple Groups ◽  
Simple Modules ◽  
Principal Block ◽  
Defect Groups ◽  
Abelian Defect Groups ◽  
A Finite Group

Given an odd prime $p$ , we investigate the position of simple modules in the stable Auslander–Reiten quiver of the principal block of a finite group with noncyclic abelian Sylow $p$ -subgroups. In particular, we prove a reduction to finite simple groups. In the case that the characteristic is $3$ , we prove that simple modules in the principal block all lie at the end of their components.

scholarly journals Dynamic anterior shoulder stabilization using the long head of the biceps tendon: a biomechanical study: DAS: a biomechanical study

2019 ◽  
Vol 7 (5_suppl3) ◽  
pp. 2325967119S0020
Author(s):  
J. Mehl ◽  
F. Imhoff ◽  
E. Obopilwe ◽  
F. Dyrna ◽  
A. Lädermann ◽  
...  
Keyword(s):  
External Rotation ◽  
Biceps Tendon ◽  
Surgical Techniques ◽  
Biomechanical Study ◽  
Bankart Repair ◽  
Shoulder Stabilization ◽  
Glenoid Defect ◽  
Defect Groups ◽  
Anterior Glenoid ◽  
Long Head

Objectives A new concept of dynamic anterior shoulder stabilization (DAS) combining Bankart repair with the additional sling effect of the long head of the biceps (LHB) tendon to treat anterior glenohumeral instability has recently been introduced. The purpose of this study was to biomechanically investigate the stabilizing effect of the DAS technique in comparison to standard Bankart repair in different defect models. Methods Twenty-four fresh frozen cadaver shoulders (average ± SD: age 60.1 ± 8.6 years) were mounted in a shoulder-testing system allowing 6 degrees of freedom. According to cross sectional area ratios the rotator cuff muscles and the LHB tendon were loaded with 40 N and 10 N, respectively. Glenohumeral translation was tested in 60° abduction and 60° external rotation (ABER position) while forces of 20 N, 30 N and 40 N were applied. The translation was measured using a 3D-digitizer and the total translation and the relative translation in relation to the native starting position were determined. Maximal external and internal rotation after application of 1.5 Nm torque to the humerus were measured. All specimens went through for 4 different conditions (Intact, defect, isolated Bankart repair, DAS) and were randomized to 3 different defect groups (Isolated Bankart lesion; 10% anterior glenoid defect; 20% anterior glenoid defect). Results Both surgical techniques resulted in decreased anterior glenohumeral translation in comparison to the defect conditions in all defect groups. In comparison with isolated Bankart repair DAS showed significant less relative anterior translation in 10% glenoid defects (30 N: 2.6 ± 3.4 mm vs. 5.3 ± 4.2 mm; p=0.044) and in 20% glenoid defects (40 N: 2.1 ± 6.6 mm vs. 6.0 ± 5.7 mm; p=0.035). However, in 20% defects DAS led to a relevant posterior and inferior shift of the humeral head in ABER position and to a relevant increase of inferior glenohumeral translation. Both surgical techniques did not limit the rotational range of motion. Conclusion In the context of minor glenoid bone defects the DAS technique demonstrates superior results in comparison to isolated Bankart repair.

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