ISSN:0092-7872    

DOI:10.1080/00927879508825507

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

Let P be the direct product of an infinite number of copies of the integers. If P = A⊗B as an abelian group, then A or B is isomorphic to P

ISSN:0092-7872    

DOI:10.1080/00927879508825508

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

We present a "Practical" algorithm to construct random elements of a finite group. We analyse its theoretical behaviour and prove that asymptotically it produces uniformly distributed tuples of elements. We discuss tests to assess its effectiveness and use these to decide when its results are acceptable for some matrix groups.

ISSN:0092-7872    

DOI:10.1080/00927879508825509

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825510

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

We examine racks from an algebraic viewpoint, concentrating on conned;ions between racks and other, more throughly understood structures such as groups. The fundamental rack is a necessarily complicated object which does not lend itself to detailed study. We therefore focus our attention on congruences on racks which enable us to simplify their structure and study their representation. It is likely that new, easily calculable invariants of links may be derived in this way. (For example, a link in S3 is n-colourable if and only if the fundamental rack is congruent to the dihedral rack of order n [F-R].) The main result states that the congruence structure on any rack may be described by considering certain subgroups of either of two groups naturally associated to the rack.

ISSN:0092-7872    

DOI:10.1080/00927879508825511

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825512

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

A test criterion for an endomorphism φ of the free Lie (super) algebra L of finite rank to be an automorphism is obtained: φ is an automorphism of L if and only if for an element u ∈ L with the maximal rank the element φ(u) belongs to the orbit of u with respect to the automorphism group of L. In particular, test elements for monomorphisms of L are exactly the elements of the maximal rank

ISSN:0092-7872    

DOI:10.1080/00927879508825513

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825514

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825515

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825516

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor