摘要:

The spliting systems of a finite group are used to induce a geometry associated with the group. The method generalizes the classical approach used to induce a geometry associated with a finite dimensional vector space and extends concepts related to the special and projective linear groups to arbitrary finite groups. Applications are made to finite solvable nC-groups and to the automorphism group of homocyclic abelian p-groups.

ISSN:0092-7872    

DOI:10.1080/00927879408824873

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408824874

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

We present a detailed study of the geometric hyperplanes of the two generalized hexagons of order (2,2). This leads to concrete descriptions of th universal embeddings of these hexagons, as well as a description of theG2(2)-orbits on the Lie algebrag2(2), illustrating some of the anomalies of this algebra. As a byproduct of our investigations, we develop some general theory that can be applied to other incidence systems with 3 points per line.

ISSN:0092-7872    

DOI:10.1080/00927879408824875

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408824876

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

Let C be a monomial curve in three dimensional projective space over a field of characteristic zero . We give a necessary criterion for a monomial curve to be set theoretic complete intersection on bihomogeneous surfaces. Using this criterion we prove several results concerning the arithmetically Cohen-Macaulay property for monomial curves.

ISSN:0092-7872    

DOI:10.1080/00927879408824877

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

Flenner's proof in [F] of the Bertini theorem for local rings of mixed characteristic is incomplete. In this note, we modify Flenner's argument to fix this gap.

ISSN:0092-7872    

DOI:10.1080/00927879408824878

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408824879

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408824880

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

摘要:

In this note we describe two simple tricks derived from work of M. Artin , J. Tate and M. Van den Bergh [2] and apply them to the quantum enveloping algebra discovered by E. Witten [ll] encoding duality in three dimensional Chern-Simons gauge theory with structure groupSU(2). In particular, we give a more conceptual interpretation of the dichotony in the representation theory and determine all finite dimensional simple representations.

ISSN:0092-7872    

DOI:10.1080/00927879408824881

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879408824882

出版商:Marcel Dekker, Inc.    

年代:1994

数据来源: Taylor