scholarly journals On the extreme inequalities of infinite group problems

2008 ◽  
Vol 121 (1) ◽  
pp. 145-170 ◽  
Author(s):  
Santanu S. Dey ◽  
Jean-Philippe P. Richard ◽  
Yanjun Li ◽  
Lisa A. Miller
Keyword(s):  
Infinite Group

AN INFINITE GROUP WITH SUBGROUPS OF PRIME ORDERS

1981 ◽  
Vol 16 (2) ◽  
pp. 279-289 ◽  
Author(s):  
A J Ol'šanskiĭ
Keyword(s):  
Infinite Group

scholarly journals A Characterization of 4-Centralizer Groups

2013 ◽  
Vol 2013 ◽  
pp. 1-2 ◽  
Author(s):  
Jutirekha Dutta
Keyword(s):  
Infinite Group

A finite or infinite group is called an n-centralizer group if it has n numbers of distinct centralizers. In this paper, we prove that a finite or infinite group G is a 4-centralizer group if and only if G/Z(G) is isomorphic to C2×C2. This extends a result of Belcastro and Sherman.

scholarly journals A $q$-Analogue of de Finetti's Theorem

10.37236/167 ◽  
2009 ◽  
Vol 16 (1) ◽  
Author(s):  
Alexander Gnedin ◽  
Grigori Olshanski
Keyword(s):  
Boundary Problem ◽  
Galois Field ◽  
Infinite Group ◽  
Natural Action ◽  
De Finetti’S Theorem ◽  
De Finetti's Theorem ◽  
Invertible Matrices

A $q$-analogue of de Finetti's theorem is obtained in terms of a boundary problem for the $q$-Pascal graph. For $q$ a power of prime this leads to a characterisation of random spaces over the Galois field ${\Bbb F}_q$ that are invariant under the natural action of the infinite group of invertible matrices with coefficients from ${\Bbb F}_q$.

Topics in Infinite Group Theory

2021 ◽  
Author(s):  
Benjamin Fine ◽  
Anja Moldenhauer ◽  
Gerhard Rosenberger ◽  
Leonard Wienke
Keyword(s):  
Group Theory ◽  
Infinite Group

scholarly journals Group Cohomology and Lp-Cohomology of Finitely Generated Groups

2003 ◽  
Vol 46 (2) ◽  
pp. 268-276 ◽  
Author(s):  
Michael J. Puls
Keyword(s):  
Banach Space ◽  
Cohomology Group ◽  
Nilpotent Groups ◽  
Group Cohomology ◽  
Infinite Group ◽  
Finitely Generated ◽  
Finitely Generated Groups ◽  
Cohomology Space ◽  
First Cohomology Group

AbstractLet G be a finitely generated, infinite group, let p > 1, and let Lp(G) denote the Banach space . In this paper we will study the first cohomology group of G with coefficients in Lp(G), and the first reduced Lp-cohomology space of G. Most of our results will be for a class of groups that contains all finitely generated, infinite nilpotent groups.

scholarly journals Facets of Two-Dimensional Infinite Group Problems

2008 ◽  
Vol 33 (1) ◽  
pp. 140-166 ◽  
Author(s):  
Santanu S. Dey ◽  
Jean-Philippe P. Richard
Keyword(s):  
Infinite Group ◽  
Two Dimensional

scholarly journals A new embedding scheme for groups and some applications

1996 ◽  
Vol 61 (2) ◽  
pp. 267-288 ◽  
Author(s):  
Viatcheslav N. Obraztsov
Keyword(s):  
Normal Subgroup ◽  
Infinite Group

AbstractIn this paper a scheme of an ‘economical’ embedding of an arbitrary set of groups without involutions in an infinite group with a proper simple normal subgroup is presented. This scheme is then applied to construction of groups with new properties.

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