ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.2.193

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.2.203

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.2.212

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.2.221

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

This paper studies imprimitive groupsGhaving a finite numbernk(G) of orbits onk‐sets for allk. The main results are a formula fornk(GWrH) in terms ofnk(G) and a ‘modified cycle index’ ofH, and relations between the growth rate of (nk(G)) and the structure of primitive components ofG.

ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.2.229

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

We construct and characterise a 3‐homogeneous but not 2‐primitive permutation groupHof countable degree. It has a transitive extensionJwhich is 5‐homogeneous but not 3‐primitive; the numbernk(J) of orbits ofJonk‐sets is the number of boron trees withkend‐vertices. Some groups related to other classes of trees are also constructed. An application to the growth rate of (nk(G)) for primitive groupsGis given.

ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.2.238

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

We show here, among other results, that there exist two monic polynomialsP,Qwith integral coefficients which have the same set of complex roots and are such that their derivatives also have the same roots, but there are no positive integersm,nsuch thatPm=Qn.

ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.2.248

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.2.257

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.2.267

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

In [1] Bazilevic` proved a remarkable averaging theorem for univalent functions. It is the aim of this article to show that Bazilevic`'s theorem may be proved, in a slightly weaker form, for the more general class of areally meanp‐valent (a.m.p.v.) functions. Bazilevic`'s method used the univalence property very strongly, since he needed the Grunsky inequalities. Thus a different proof is essential for the generalization. Our approach is close in nature to the one appearing in Hayman's paper [4].

ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.2.277

出版商:Oxford University Press    

年代:2016

数据来源: WILEY