Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, India
10.21608/joems.2016.386732
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.
Makhijani, N., Sharma, R., & Srivastava, J. (2016). Units in finite dihedral and quaternion group algebras. Journal of the Egyptian Mathematical Society, 24(1), 5-7. doi: 10.21608/joems.2016.386732
MLA
Neha Makhijani; R. K. Sharma; J. B. Srivastava. "Units in finite dihedral and quaternion group algebras". Journal of the Egyptian Mathematical Society, 24, 1, 2016, 5-7. doi: 10.21608/joems.2016.386732
HARVARD
Makhijani, N., Sharma, R., Srivastava, J. (2016). 'Units in finite dihedral and quaternion group algebras', Journal of the Egyptian Mathematical Society, 24(1), pp. 5-7. doi: 10.21608/joems.2016.386732
VANCOUVER
Makhijani, N., Sharma, R., Srivastava, J. Units in finite dihedral and quaternion group algebras. Journal of the Egyptian Mathematical Society, 2016; 24(1): 5-7. doi: 10.21608/joems.2016.386732
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