Unit group of some finite semisimple group algebras
(2022). Unit group of some finite semisimple group algebras. EKB Journal Management System, 30(1), 1-9. doi: 10.1186/s42787-022-00151-0
. "Unit group of some finite semisimple group algebras". EKB Journal Management System, 30, 1, 2022, 1-9. doi: 10.1186/s42787-022-00151-0
(2022). 'Unit group of some finite semisimple group algebras', EKB Journal Management System, 30(1), pp. 1-9. doi: 10.1186/s42787-022-00151-0
Unit group of some finite semisimple group algebras. EKB Journal Management System, 2022; 30(1): 1-9. doi: 10.1186/s42787-022-00151-0

Unit group of some finite semisimple group algebras

Journal of the Egyptian Mathematical Society
Volume 30, Issue 1, 2022, Pages 1-9    PDF (2 M)
Document Type: Original Article
DOI: 10.1186/s42787-022-00151-0
Abstract
We provide the structure of the unit group of F pk Sn , where p > n is a prime and Sn denotes the symmetric group on n letters. We also provide the complete characterization of the unit group of the group algebra F pkA6 for p  7 , where A6 is the alternating group on 6 letters.
Keywords
Unit group; Group algebra; Finite field; Wedderburn decomposition Mathematics Subject Classification: Primary 16S34; Secondary 16U60; 20C05ٍ
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