Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Jordan type of a k[C(p)xC(p)]-module
Date
2011-01-01
Author
Öztürk, Semra
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
84
views
0
downloads
Cite This
Let E be the elementary abelian group C(p)xC(p), k a field of characteristic p, M a finite dimensional module over the group algebra k[E] and J the Jacobson radical J of k[E]. We prove that the decomposition of M when considered as a k[]-module for a p-point x in J is well defined modulo J(p).
Subject Keywords
Jordan canonical form
,
Jordan type
,
Commuting nilpotent matrices
,
P-points
,
Shifted cyclic subgroup
URI
https://hdl.handle.net/11511/52850
Journal
NEW YORK JOURNAL OF MATHEMATICS
Collections
Department of Mathematics, Article
Suggestions
OpenMETU
Core
JORDAN TYPES OF COMMUTING NILPOTENT MATRICES
Öztürk, Semra (2018-01-01)
Let A and B be matrices which are polynomials in r pairwise commuting nilpotent matrices over a field. We give a sufficient condition for the null space of A(i) to equal that of B-i for all i, in particular, for A and B to be similar.
On the index of fixed point subgroup
Türkan, Erkan Murat; Ercan, Gülin; Department of Mathematics (2011)
Let G be a finite group and A be a subgroup of Aut(G). In this work, we studied the influence of the index of fixed point subgroup of A in G on the structure of G. When A is cyclic, we proved the following: (1) [G,A] is solvable if this index is squarefree and the orders of G and A are coprime. (2) G is solvable if the index of the centralizer of each x in H-G is squarefree where H denotes the semidirect product of G by A. Moreover, for an arbitrary subgroup A of Aut(G) whose order is coprime to the order o...
RELATIVE GROUP COHOMOLOGY AND THE ORBIT CATEGORY
Pamuk, Semra (2014-07-03)
Let G be a finite group and F be a family of subgroups of G closed under conjugation and taking subgroups. We consider the question whether there exists a periodic relative F-projective resolution for Z when F is the family of all subgroups HG with rkHrkG-1. We answer this question negatively by calculating the relative group cohomology FH*(G, ?(2)) where G = Z/2xZ/2 and F is the family of cyclic subgroups of G. To do this calculation we first observe that the relative group cohomology FH*(G, M) can be calc...
A GENERALIZED FIXED-POINT-FREE ACTION
Güloğlu, İsmail Şuayip; Ercan, Gülin (2013-05-01)
In this paper we study the structure of a finite group G admitting a solvable group A of automorphisms of coprime order so that for any x epsilon C-G(A) of prime order or of order 4, every conjugate of x in G is also contained in C-G(A). Under this hypothesis it is proven that the subgroup [G, A] is solvable. Also an upper bound for the nilpotent height of [G, A] in terms of the number of primes dividing the order of A is obtained in the case where A is abelian.
Restricted Modules and Conjectures on Modules of Constant Jordan Type
Öztürk, Semra (Springer, 2014-01-01)
We introduce the class of restricted k[A]-modules and p t-Jordan types for a finite abelian p-group A of exponent at least p t and a field k of characteristic p. For these modules, we generalize several theorems by Benson, verify a generalization of conjectures stated by Suslin and Rickard giving constraints on Jordan types for modules of constant Jordan type when t is 1. We state conjectures giving constraints on p t-Jordan types and show that many p t-Jordan types are realizable.
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
S. Öztürk, “Jordan type of a k[C(p)xC(p)]-module,”
NEW YORK JOURNAL OF MATHEMATICS
, pp. 307–313, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52850.