Hypercentral Unit Groups and the Hyperbolicity of a Modular Group Algebra
نویسندگان
چکیده
منابع مشابه
the unit group of algebra of circulant matrices
let $cr_{n}(f)$ denote the algebra of $n times n$ circulant matrices over the field $f$. in this paper, we study the unit group of $cr_{n}(f_{p^m})$, where $f_{p^m}$ denotes the galois field of order $p^{m}$, $p$ prime.
متن کاملunit group of algebra of circulant matrices
let $cr_n(f_p)$ denote the algebra of $n times n$ circulant matrices over $f_p$, the finite field of order $p$ a prime. the order of the unit groups $mathcal{u}(cr_3(f_p))$, $mathcal{u}(cr_4(f_p))$ and $mathcal{u}(cr_5(f_p))$ of algebras of circulant matrices over $f_p$ are computed.
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چکیده ندارد.
Wreath Products in the Unit Group of Modular Group Algebras of 2-groups of Maximal Class
We study the unit group of the modular group algebra KG, where G is a 2-group of maximal class. We prove that the unit group of KG possesses a section isomorphic to the wreath product of a group of order two with the commutator subgroup of the group G. MSC2000: Primary 16S34, 20C05; Secondary 16U60
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2008
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927870701864049