Makhijani, N., Sharma, R., Srivastava, J. (2016). Units in finite dihedral and quaternion group algebras. test, 24(1), 5-7. doi: 10.1016/j.joems.2014.08.001
Neha Makhijani; R. K. Sharma; J. B. Srivastava. "Units in finite dihedral and quaternion group algebras". test, 24, 1, 2016, 5-7. doi: 10.1016/j.joems.2014.08.001
Makhijani, N., Sharma, R., Srivastava, J. (2016). 'Units in finite dihedral and quaternion group algebras', test, 24(1), pp. 5-7. doi: 10.1016/j.joems.2014.08.001
Makhijani, N., Sharma, R., Srivastava, J. Units in finite dihedral and quaternion group algebras. test, 2016; 24(1): 5-7. doi: 10.1016/j.joems.2014.08.001

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
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