The modular Hecke algebra of a Sylow p-subgroup
نویسندگان
چکیده
منابع مشابه
On the Hecke algebra of a noncongruence subgroup
We begin by recalling standard facts concerning Hecke algebras and modular forms, for details of which the reader is referred to Chapter 3 of Shimura’s book [11]. By definition H (in Shimura’s notation, R(Γ, GL2(Q) )⊗Q) is the Q-algebra spanned by double cosets [ΓγΓ], for γ ∈ GL2(Q) with det γ > 0. Write as usual Mk(Γ) for the complex vector space of holomorphic modular forms of weight k ≥ 0, a...
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let $g={rm sl}_2(p^f)$ be a special linear group and $p$ be a sylow $2$-subgroup of $g$, where $p$ is a prime and $f$ is a positive integer such that $p^f>3$. by $n_g(p)$ we denote the normalizer of $p$ in $g$. in this paper, we show that $n_g(p)$ is nilpotent (or $2$-nilpotent, or supersolvable) if and only if $p^{2f}equiv 1,({rm mod},16)$.
متن کاملon $p$-soluble groups with a generalized $p$-central or powerful sylow $p$-subgroup
let $g$ be a finite $p$-soluble group, and $p$ a sylow $p$-subgroup of $g$. it is proved that if all elements of $p$ of order $p$ (or of order ${}leq 4$ for $p=2$) are contained in the $k$-th term of the upper central series of $p$, then the $p$-length of $g$ is at most $2m+1$, where $m$ is the greatest integer such that $p^m-p^{m-1}leq k$, and the exponent of the image of $p$...
متن کاملon p-soluble groups with a generalized p-central or powerful sylow p-subgroup
let $g$ be a finite $p$-soluble group, and $p$ a sylow $p$-sub-group of $g$. it is proved that if all elements of $p$ of order $p$ (or of order ${}leq 4$ for $p=2$) are contained in the $k$-th term of the upper central series of $p$, then the $p$-length of $g$ is at most $2m+1$, where $m$ is the greatest integer such that $p^m-p^{m-1}leq k$, and the exponent of the image of $p$...
متن کاملA representation of the p-sylow subgroup of Perm(Fpn) and a cryptographic application
This article concerns itself with the triangular permutation group, induced by triangular polynomial maps over Fp, which is a p-sylow subgroup of Perm(Fp ). The aim of this article is twofold: on the one hand, we give an alternative to Fp-actions on Fp , namely Z-actions on Fp and how to describe them as what we call “Z-flows”. On the other hand, we describe how the triangular permutation group...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1986
ISSN: 0021-8693
DOI: 10.1016/0021-8693(86)90244-9