The Metabelian p-Groups of Maximal Class. II

1982 ◽  
Vol 272 (2) ◽  
pp. 465
Author(s):  
R. J. Miech
Keyword(s):  
Class Ii ◽  
Maximal Class

ON p-GROUPS OF MAXIMAL CLASS II

1978 ◽  
Vol 29 (2) ◽  
pp. 175-186 ◽  
Author(s):  
C. R. LEEDHAM-GREEN ◽  
SUSAN McKAY
Keyword(s):  
Class Ii ◽  
Maximal Class

Some bounds for the degree of commutativity of a p-group of maximal class, ii

1995 ◽  
Vol 23 (7) ◽  
pp. 2765-2795 ◽  
Author(s):  
Antonio Vera-López ◽  
J.M. Arregi ◽  
F.J. Vera-López
Keyword(s):  
Class Ii ◽  
Maximal Class

scholarly journals Graded Lie Algebras of Maximal Class, II

2000 ◽  
Vol 229 (2) ◽  
pp. 750-784 ◽  
Author(s):  
A Caranti ◽  
M.F Newman
Keyword(s):  
Lie Algebras ◽  
Class Ii ◽  
Maximal Class ◽  
Graded Lie Algebras

scholarly journals The exact bounds for the degree of commutativity of a p-group of maximal class, II

2004 ◽  
Vol 273 (2) ◽  
pp. 806-853 ◽  
Author(s):  
Antonio Vera-López ◽  
J.M. Arregi ◽  
M.A. Garcı́a-Sánchez ◽  
F.J. Vera-López ◽  
R. Esteban-Romero
Keyword(s):  
Class Ii ◽  
Maximal Class ◽  
Exact Bounds

scholarly journals On p-groups of maximal class, II

1991 ◽  
Vol 143 (1) ◽  
pp. 179-207 ◽  
Author(s):  
Antonio Vera-López ◽  
Gustavo A Fernández-Alcober
Keyword(s):  
Class Ii ◽  
Maximal Class

The modular group algebras of p-groups of maximal class II

2019 ◽  
Vol 47 (2) ◽  
pp. 761-771
Author(s):  
Czeslaw Bagiński ◽  
János Kurdics
Keyword(s):  
Modular Group ◽  
Class Ii ◽  
Group Algebras ◽  
Maximal Class

ON THE TAKETA BOUND FOR NORMALLY MONOMIAL p-GROUPS OF MAXIMAL CLASS II

2014 ◽  
Vol 13 (05) ◽  
pp. 1350145
Author(s):  
TIM BONNER ◽  
LAWRENCE WILSON
Keyword(s):  
Lie Algebra ◽  
Class Ii ◽  
Character Degrees ◽  
Maximal Class ◽  
Derived Length ◽  
Algebra Approach ◽  
The Relationship

We discuss the relationship between the derived length and the number of character degrees in the restricted setting of a normally monomial p-group, G, of maximal class. We continue the Lie algebra approach implemented by Keller, Ragan, and Tims. With a number of technical results, we improve the existing bound, [Formula: see text], to obtain, [Formula: see text].

Commuting automorphisms of finite 2-groups of almost maximal class, II

2020 ◽  
pp. 2150060
Author(s):  
N. Azimi Shahrabi ◽  
M. Akhavan-Malayeri
Keyword(s):  
Class Ii ◽  
Maximal Class ◽  
Central Series ◽  
Minimum Order ◽  
Engel Elements ◽  
Central Automorphisms

Let [Formula: see text] be a finite [Formula: see text]-group. In our recent paper, it was shown that in a finite [Formula: see text]-group of almost maximal class, the set of all commuting automorphisms, [Formula: see text] is a subgroup of [Formula: see text]. Also, we proved that the minimum coclass of a non-[Formula: see text], [Formula: see text]-group is equal to 3. Using these results, in this paper, we will take of the task of determining when the group of all commuting automorphisms of all finite [Formula: see text]-groups of almost maximal class are equal to the group of all central automorphisms. This determination is not easy. We will prove they are equal, except only for five ones. We show that the minimum order of a [Formula: see text]-group which it’s group of all commuting automorphisms is not equal to it’s group of all central automorphisms is [Formula: see text]. Also, we prove that if [Formula: see text] is a finite [Formula: see text]-group in which [Formula: see text], then the subgroup of right 2-Engel elements of [Formula: see text], [Formula: see text], coincides with the second term of upper central series of [Formula: see text].

Electron microscopy analysis of degenerating pancreatic ß cells in transgenic mice expressing the MHC Class I antigen Dd

1990 ◽  
Vol 48 (3) ◽  
pp. 548-549
Author(s):  
T. A. Stewart ◽  
D. Liggitt ◽  
S. Pitts ◽  
L. Martin ◽  
M. Siegel ◽  
...  
Keyword(s):  
Type I Diabetes ◽  
Disease Process ◽  
Class Ii ◽  
Class I ◽  
Type I ◽  
Aberrant Expression ◽  
Mhc Molecules ◽  
Endogenous Insulin ◽  
Class Ii Mhc ◽  
Ifn Γ

Insulin-dependant (Type I) diabetes mellitus (IDDM) is a metabolic disorder resulting from the lack of endogenous insulin secretion. The disease is thought to result from the autoimmune mediated destruction of the insulin producing ß cells within the islets of Langerhans. The disease process is probably triggered by environmental agents, e.g. virus or chemical toxins on a background of genetic susceptibility associated with particular alleles within the major histocompatiblity complex (MHC). The relation between IDDM and the MHC locus has been reinforced by the demonstration of both class I and class II MHC proteins on the surface of ß cells from newly diagnosed patients as well as mounting evidence that IDDM has an autoimmune pathogenesis. In 1984, a series of observations were used to advance a hypothesis, in which it was suggested that aberrant expression of class II MHC molecules, perhaps induced by gamma-interferon (IFN γ) could present self antigens and initiate an autoimmune disease. We have tested some aspects of this model and demonstrated that expression of IFN γ by pancreatic ß cells can initiate an inflammatory destruction of both the islets and pancreas and does lead to IDDM.

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