The unit group of some special semi-simple group algebras

Published in: Quaestiones Mathematicae
Volume 39 , issue 1 , 2016 , pages: 9–28

DOI: 10.2989/16073606.2015.1024410

Author(s): Neha Makhijani Department Of Mathematics, India , R.K. Sharma Department Of Mathematics, India , J.B. Srivastava Department Of Mathematics, India

Keywords: 16S34 , 16U60 , 20C05 , 16S34 , 16U60 , 20C05

Let G be a non-abelian group of order 2ⁿ which has a cyclic subgroup of index 2 and let U (

[G]) be the unit group of the group algebra

[G] of G over the field

containing q = p^kelements. In this paper, recurrence relations are established to determine the structure of the unit group of

[G] when p > 2.

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