منابع مشابه
On Normal Subgroups of Coxeter Groups Generated by Standard Parabolic Subgroups´swiatosław
We discuss one construction of nonstandard subgroups in the category of Coxeter groups. Two formulae for the growth series of such a subgroups are given. As an application we construct a flag simple convex polytope, whose f-polynomial has non-real roots. Introduction The central object of this paper is the growth series of a Coxeter group. Many geometric features of such a group (or any group i...
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چکیده ندارد.
On the type of conjugacy classes and the set of indices of maximal subgroups
Let $G$ be a finite group. By $MT(G)=(m_1,cdots,m_k)$ we denote the type of conjugacy classes of maximal subgroups of $G$, which implies that $G$ has exactly $k$ conjugacy classes of maximal subgroups and $m_1,ldots,m_k$ are the numbers of conjugates of maximal subgroups of $G$, where $m_1leqcdotsleq m_k$. In this paper, we give some new characterizations of finite groups by ...
متن کاملMaximal Algebraic Subgroups of the Cremona Group of Three Variables Imprimitive Algebraic Subgroups of Exceptional Type
Enriques and Fano [4], [5] classified all the maximal connected algebraic subgroups of Cr3. Our aim is to give modern and rigorous proofs to their results. In [10], we studied the primitive subgroups. In this paper, we deal with exceptional imprimitive groups. The imprimitivity is an analytic notion. The natural translation of the imprimitivity in algebraic geometry is the de Jonquieres type op...
متن کاملCENTRALISERS OF FINITE SUBGROUPS IN SOLUBLE GROUPS OF TYPE FPn
We show that for soluble groups of type FPn, centralisers of finite subgroups need not be of type FPn.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1977
ISSN: 0021-8693
DOI: 10.1016/0021-8693(77)90319-2