Commutators, Words, Conjugacy Classes and Character Methods

Aner SHALEV

Article Details

Commutators, Words, Conjugacy Classes and Character Methods

Authors:

Aner SHALEV

Publisher:

TUBITAK

Main Topics:

Mathematics

Journal:

Turkish Journal of Mathematics 2007 Vol.31 Issue Suppl, pp.131-148

Document Type:

Article

Publication Date:

11/2006

Document Language:

English

Document ID (Org No.):

2000748502

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Keywords:

Abstract:

 

In this survey paper we show how character methods can be  used to solve a wide range of seemingly unrelated problems.  These  include commutators, powers of conjugacy classes and related random  walks, as well as word maps and Waring type problems.  In particular  we describe recent progress made on conjectures of Ore, of Thompson,  and of Lulov and Pak.  New open problems and conjectures are also  stated.

 

In this survey paper we show how character methods can be  used to solve a wide range of seemingly unrelated problems.  These  include commutators, powers of conjugacy classes and related random  walks, as well as word maps and Waring type problems.  In particular  we describe recent progress made on conjectures of Ore, of Thompson,  and of Lulov and Pak.  New open problems and conjectures are also  stated.

Article Details

Commutators, Words, Conjugacy Classes and Character Methods

Authors:

Aner SHALEV

Publisher:

TUBITAK

Main Topics:

Mathematics

Journal:

Turkish Journal of Mathematics 2007 Vol.31 Issue Suppl, pp.131-148

Document Type:

Article

Publication Date:

11/2006

Document Language:

English

Document ID (Org No.):

2000748502

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Finite simple groups

commutators

conjagacy classes

characters

word maps

random walks

Issues

Article Details

Commutators, Words, Conjugacy Classes and Character Methods

Authors: Aner SHALEV

Publisher: TUBITAK

Main Topics: Mathematics

Journal: Turkish Journal of Mathematics 2007 Vol.31 Issue Suppl, pp.131-148

Document Type: Article

Publication Date: 11/2006

Document Language: English

Document ID (Org No.): 2000748502

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

Finite simple groups

commutators

conjagacy classes

characters

word maps

random walks

Issues

Authors:

Aner SHALEV

Publisher:

TUBITAK

Main Topics:

Mathematics

Journal:

Turkish Journal of Mathematics 2007 Vol.31 Issue Suppl, pp.131-148

Document Type:

Article

Publication Date:

11/2006

Document Language:

English

Document ID (Org No.):

2000748502

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098