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pro vyhledávání: '"Campbell, H. E."'
We describe the ring of invariants for the finite orthogonal group of plus type in odd characteristic acting on its defining representation. We also describe the invariants of its Sylow subgroup in the defining characteristic. In both cases we constr
Externí odkaz:
http://arxiv.org/abs/2407.01152
Autor:
Campbell, H. E. A., Wehlau, David L.
Over a field of characteristic 0, every ring of invariants of any finite group is Cohen-Macaulay. This is not true for fields of positive characteristic. We consider permutation representations and their invariant rings over fields $\mathbb{F}_p$ of
Externí odkaz:
http://arxiv.org/abs/2308.09056
Autor:
Campbell, H. E. A., Wehlau, David L.
Publikováno v:
Finite Fields and Their Applications, 89 (2023)
We begin by considering faithful matrix representations of elementary abelian groups in prime characteristic. The representations considered are seen to be determined up to change of bases by a single number. Studying this number leads to a new famil
Externí odkaz:
http://arxiv.org/abs/2006.15683
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
Externí odkaz:
http://arxiv.org/abs/1610.03709
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Autor:
Campbell, H. E. A., Wehlau, David L.
We study the ring of invariants for a finite dimensional representation $V$ of the group $C_2$ of order 2 in characteristic $2$. Let $\sigma$ denote a generator of $C_2$ and $\{x_1,y_1 \dots, x_m,y_m\}$ a basis of $V^*$. Then $\sigma(x_i) = x_i$, and
Externí odkaz:
http://arxiv.org/abs/1308.3710
We initiate a study of the rings of invariants of modular representations of elementary abelian p-groups. With a few notable exceptions, the modular representation theory of an elementary abelian p-group is wild. However, for a given dimension, it is
Externí odkaz:
http://arxiv.org/abs/1112.0230
In this paper, we study the vector invariants, ${\bf{F}}[m V_2]^{C_p}$, of the 2-dimensional indecomposable representation $V_2$ of the cylic group, $C_p$, of order $p$ over a field ${\bf{F}}$ of characteristic $p$. This ring of invariants was first
Externí odkaz:
http://arxiv.org/abs/0901.2811
Akademický článek
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