group algebras
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scholarly journals Non-isomorphic 2-groups with isomorphic modular group algebras

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Diego García-Lucas ◽  
Leo Margolis ◽  
Ángel del Río
Keyword(s):  
Modular Group ◽  
Isomorphism Problem ◽  
Group Algebras ◽  
Isomorphic Group ◽  
Characteristic 2

Abstract We provide non-isomorphic finite 2-groups which have isomorphic group algebras over any field of characteristic 2, thus settling the Modular Isomorphism Problem.

Centrally Essential Group Algebras and Classical Rings of Fractions

2021 ◽  
Vol 42 (12) ◽  
pp. 2890-2894
Author(s):  
O. V. Lyubimtsev ◽  
A. A. Tuganbaev
Keyword(s):  
Group Algebras

scholarly journals Unit groups of group algebras of Abelian groups of order 32

2021 ◽  
Vol 40 (5) ◽  
pp. 1341-1356
Author(s):  
Suchi Bhatt ◽  
Harish Chandra
Keyword(s):  
Finite Field ◽  
Abelian Groups ◽  
Complete Characterization ◽  
Group Algebras ◽  
Characteristic P

Let F be a finite field of characteristic p > 0 with q = pn elements. In this paper, a complete characterization of the unit groups U(F G) of group algebras F G for the abelian groups of order 32, over finite field of characteristic p > 0 has been obtained.

scholarly journals On the BV structure of the Hochschild cohomology of finite group algebras

2021 ◽  
Vol 313 (1) ◽  
pp. 1-44
Author(s):  
Dave Benson ◽  
Radha Kessar ◽  
Markus Linckelmann
Keyword(s):  
Finite Group ◽  
Hochschild Cohomology ◽  
Group Algebras

LCD Codes and Self-orthogonal Codes in Finite Dihedral Group Algebras

2021 ◽  
Vol 42 (5) ◽  
pp. 791-800
Author(s):  
Yanyan Gao ◽  
Qin Yue ◽  
Yansheng Wu
Keyword(s):  
Dihedral Group ◽  
Group Algebras ◽  
Orthogonal Codes ◽  
Lcd Codes
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