Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Jianjun Chuai"'
Publikováno v:
Journal of Pure and Applied Algebra. 223:2015-2035
Suppose $\mathbb{F}$ is a field of prime characteristic $p$ and $E$ is a finite subgroup of the additive group $(\mathbb{F},+)$. Then $E$ is an elementary abelian $p$-group. We consider two such subgroups, say $E$ and $E'$, to be equivalent if there
Autor:
H. E. A. Campbell, Jianjun Chuai
Publikováno v:
Proceedings of the Edinburgh Mathematical Society. 55:355-367
We define a hyperplane group to be a finite group generated by reflections fixing a single hyperplane pointwise. Landweber and Stong proved that the invariant ring of a hyperplane group is again a polynomial ring in any characteristic. Recently, Hart
Autor:
Jianjun Chuai
Publikováno v:
Journal of Algebra. 318(2):710-722
For a faithful linear representation of a finite group G over a field of characteristic p, we study the ring of invariants. We especially study the polynomial and Cohen–Macaulay properties of the invariant ring. We first show that certain quotient
Autor:
Jianjun Chuai
Publikováno v:
Proceedings of the American Mathematical Society. 133:1325-1333
In this paper we give a new degree bound for polynomial invariant rings of finite groups and give some applications.
Autor:
Jianjun Chuai, Yongge Tian
Publikováno v:
Applied Mathematics and Computation. 150:129-137
Some rank equalities and inequalities are established for Kronecker products of matrices. As applications, upper and lower bounds are presented for the dimensions of the ranges of the two well-known linear transformations T"1(X)=X-AXB and T"2(X)=AX-X
Autor:
Jianjun Chuai
Publikováno v:
Journal of Algebra. 266(1):362-373
For any faithful representation V of a non-trivial p-group over a field of characteristic p>0, it is known that the ring of vector invariants of m copies of V is not Cohen–Macaulay if m⩾3. However, much less is known about the case m=2. In this p
Autor:
Abraham Broer, Jianjun Chuai
Let the finite group $G$ act linearly on the vector space $V$ over the field $k$ of arbitrary characteristic. If $H
Comment: 36 pages, proofs of main theorems have been improved
Comment: 36 pages, proofs of main theorems have been improved
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1359d4038a6d533773b8dda3e658c580
http://arxiv.org/abs/0709.0703
http://arxiv.org/abs/0709.0703
Autor:
Broer, Abraham, Jianjun Chuai
Publikováno v:
Proceedings of the London Mathematical Society; May2010, Vol. 100 Issue 3, p705-735, 31p