Units in finite dihedral and quaternion group algebras | ||
Journal of the Egyptian Mathematical Society | ||
Volume 24, Issue 1, 2016, Pages 5-7 PDF (374.05 K) | ||
DOI: 10.1016/j.joems.2014.08.001 | ||
Authors | ||
Neha Makhijani; R. K. Sharma; J. B. Srivastava | ||
Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, India | ||
Abstract | ||
Let FqG be the group algebra of a finite group G over Fq ¼ GFðqÞ. Using the Wedderburn decomposition of F2kD2n=JðF2kD2nÞ, we establish the structure of the unit group of F2kG when G is either D4n, the dihedral group of order 4n or Q4n, the generalized quaternion group of order 4n; n odd. | ||
Keywords | ||
Group algebra; Unit group; Wedderburn decomposition; Jacobson radical | ||
Statistics Article View: 51 PDF Download: 28 |