Units in finite dihedral and quaternion group algebras | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 24, Issue 1, 2016, Page 5-7 PDF (374.05 K) | ||||
DOI: 10.1016/j.joems.2014.08.001 | ||||
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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 | ||||
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