scholarly journals On Two Group Functors Extending Schur Multipliers

2020 ◽  
pp. 1-13
Author(s):  
Heiko Dietrich ◽  
Primož Moravec
Keyword(s):  
2007 ◽  
Vol 51 (3) ◽  
pp. 743-766 ◽  
Author(s):  
Kenneth R. Davidson ◽  
Allan P. Donsig
Keyword(s):  

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
Nicolae Popa

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


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

1966 ◽  
Vol 27 (2) ◽  
pp. 733-745 ◽  
Author(s):  
N. Burgoyne ◽  
P. Fong

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.


1995 ◽  
Vol 219 ◽  
pp. 157-163
Author(s):  
Miguel Lacruz
Keyword(s):  

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