scholarly journals Positive extensions of Schur multipliers

2017 ◽  
Vol 78 (1) ◽  
pp. 45-69 ◽  
Author(s):  
Rupert H. Levene ◽  
Ying-Fen Lin ◽  
Ivan G. Todorov
Keyword(s):  
Schur Multipliers ◽  
Positive Extensions

scholarly journals Norms of Schur multipliers

2007 ◽  
Vol 51 (3) ◽  
pp. 743-766 ◽  
Author(s):  
Kenneth R. Davidson ◽  
Allan P. Donsig
Keyword(s):  
Schur Multipliers

scholarly journals A Class of Schur Multipliers on Some Quasi-Banach Spaces of Infinite Matrices

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
Nicolae Popa
Keyword(s):  
Banach Spaces ◽  
Infinite Matrices ◽  
Schur Multipliers ◽  
Scalar Type

We characterize the Schur multipliers of scalar type acting on scattered classes of infinite matrices.

The Schur multipliers of certain Bieberbach groups with abelian point groups

2013 ◽  
Author(s):  
Hazzirah Izzati Mat Hassim ◽  
Nor Haniza Sarmin ◽  
Nor Muhainiah Mohd Ali ◽  
Rohaidah Masri ◽  
Nor'ashiqin Mohd Idrus
Keyword(s):  
Schur Multipliers ◽  
Point Groups

scholarly journals The Schur Multipliers of the Mathieu Groups

1966 ◽  
Vol 27 (2) ◽  
pp. 733-745 ◽  
Author(s):  
N. Burgoyne ◽  
P. Fong
Keyword(s):  
Simple Groups ◽  
Finite Simple Groups ◽  
Schur Multiplier ◽  
Lie Group Theory ◽  
Schur Multipliers ◽  
Complex Roots ◽  
Connected Covering ◽  
Group A ◽  
Mathieu Groups ◽  
Simply Connected

The Mathieu groups are the finite simple groups M11, M12, M22, M23, M24 given originally as permutation groups on respectively 11, 12, 22, 23, 24 symbols. Their definition can best be found in the work of Witt [1]. Using a concept from Lie group theory we can describe the Schur multiplier of a group as the center of a “simply-connected” covering of that group. A precise definition will be given later. We also mention that the Schur multiplier of a group is the second cohomology group of that group acting trivially on the complex roots of unity. The purpose of this paper is to determine the Schur multipliers of the five Mathieu groups.

Sign in / Sign up

Export Citation Format

Share Document