ISSN:0092-7872    

DOI:10.1080/00927879508825223

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

The investigation of the structure of finite solvable multiprimitive groups through an induced geometry leads to a classification of finite solvable multiprimitive groups of up to derived length 3 and to a necessary and sufficient geometric condition for when a finite solvable nC-group is multiprimitive. An application is made to finite groups which have all their splitting systems equivalent.

ISSN:0092-7872    

DOI:10.1080/00927879508825224

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

A follow-up on the authors′ earlier discussion on the Kantor construction of Jordan superalgebras is presented. A short axiom, required in characteristic 3 but omitted in the original treatise, is added to those of a Jordan superbracket. A particular case of the Kantor construc¬tion is the Jordan superalgebra of Poisson Brackets. Jordan folklore describes this superalgebra in Clifford terms, but we show this description does not even yield a Jordan superalgebra. An amended Clifford description of the Poisson superalgebra is given which does represent the superalgebra of Poisson brackets.

ISSN:0092-7872    

DOI:10.1080/00927879508825225

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

We provide a construction of noncommutative Jordan algebras of degree two. The construction can be iterated, and we show that after the first few iterations no new derivations arise. The relationship between this iterative process and the Cayley-Dickson process is studied, and the result on deriva¬tions is used to obtain a generalization of Schafer's classical theorem on the derivation algebras of Cayley-Dickson algebras.

ISSN:0092-7872    

DOI:10.1080/00927879508825226

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825227

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor