Groups all proper quotient groups of which have Chernikov conjugacy classes

2000 ◽  
Vol 52 (3) ◽  
pp. 400-406
Author(s):  
L. A. Kurdachenko ◽  
J. Otal
Keyword(s):  
Conjugacy Classes ◽  
Quotient Groups ◽  
Proper Quotient

Groups all proper quotient groups of which possess layer-Chernikov properties

1998 ◽  
Vol 50 (11) ◽  
pp. 1710-1718
Author(s):  
N. V. Kalashnikova
Keyword(s):  
Quotient Groups ◽  
Proper Quotient

Groups with Hypercyclic Proper Quotient Groups

2003 ◽  
Vol 55 (4) ◽  
pp. 566-575
Author(s):  
L. A. Kurdachenko ◽  
P. Soules
Keyword(s):  
Quotient Groups ◽  
Proper Quotient

Finitep-Groups All of Whose Proper Quotient Groups are Abelian or Inner-Abelian

2010 ◽  
Vol 38 (8) ◽  
pp. 2797-2807 ◽  
Author(s):  
Qinhai Zhang ◽  
Lili Li ◽  
Mingyao Xu
Keyword(s):  
Quotient Groups ◽  
Proper Quotient

scholarly journals A Survey on Just-Non-𝔛Groups

2010 ◽  
Vol 2010 ◽  
pp. 1-8
Author(s):  
Daniele Ettore Otera ◽  
Francesco G. Russo
Keyword(s):  
Present Note ◽  
Topological Groups ◽  
Quotient Groups ◽  
Proper Quotient

Let𝔛be a class of groups. A group which does not belong to𝔛but all of whose proper quotient groups belong to𝔛is called just-non-𝔛group. The present note is a survey of recent results on the topic with a special attention to topological groups.

scholarly journals On varieties of metabelian p-groups, and their laws

1967 ◽  
Vol 7 (1) ◽  
pp. 64-80 ◽  
Author(s):  
Warren Brisley
Keyword(s):  
Critical Group ◽  
Proper Factor ◽  
Simple Basis ◽  
Quotient Groups ◽  
Proper Quotient

The purpose of this article is to present some results on varieties of metabelian p-groups, nilpotent of class c, with the prime p greater than c. After some preliminary lemmas in § 3, it is established in § 4, Theorem 3, that there is a simple basis for the laws of such a variety, and this basis is explicitly stated. This allows the description of the lattice of such varieties, and in § 5, Theorem 4, it is shown that each such variety has a two-generator member which generates it; this is established by the help of Theorem 5, which states that each critical group is a two-generator group, and Theorem 6, which gives explicitly the varieties generated by the proper subgroups, by the proper quotient groups, and by the proper factor groups of such a critical group.

scholarly journals The number of conjugacy classes in some quotients of the Nottingham group

1998 ◽  
Vol 41 (2) ◽  
pp. 369-384 ◽  
Author(s):  
P. P. Pálfy
Keyword(s):  
Conjugacy Classes ◽  
Quotient Groups

We determine the number of conjugacy classes in the natural quotient groups of the Nottingham group over the p-element field up to the quotient of order p3p+1.

Infinite groups whose proper quotient groups are finite, I

1968 ◽  
Vol 21 (6) ◽  
pp. 545-562 ◽  
Author(s):  
Donald McCarthy
Keyword(s):  
Infinite Groups ◽  
Quotient Groups ◽  
Proper Quotient

Infinite groups whose proper quotient groups are finite, II

1970 ◽  
Vol 23 (5) ◽  
pp. 767-789 ◽  
Author(s):  
Donald McCarthy
Keyword(s):  
Infinite Groups ◽  
Quotient Groups ◽  
Proper Quotient

scholarly journals Groups with boundedly finite conjugacy classes of commutators

2018 ◽  
Vol 69 (3) ◽  
pp. 1047-1051 ◽  
Author(s):  
Gláucia Dierings ◽  
Pavel Shumyatsky
Keyword(s):  
Conjugacy Classes ◽  
Finite Conjugacy
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