✦ LIBER ✦

The Structure of Rational Schur Rings over Cyclic Groups

✍ Scribed by Mikhail E. Muzychuk

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 389 KB
Volume: 14
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.1993.1050

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On Schur Rings over Cyclic Groups, II

✍ Ka Hin Leung; Shing Hing Man 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 193 KB

In this paper, we show that for any Schur ring S over a cyclic group G, if every subgroup is an S-subgroup, then S is either a wedge product of Schur rings over smaller cyclic groups, or every S-principal subset is an orbit of an element under a Ž fixed subgroup of Aut G. With an earlier result prov

K2of Cyclic Group Rings over λ-Rings

✍ F.J.-B.J. Clauwens 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 384 KB

The theory developed in previous papers of the author is used to compute the algebraic K of group rings of cyclic p-groups with coefficients in an arbitrary 2 -ring.

Rings of Invariants of Certainp-Groups o

Rings of Invariants of Certainp-Groups over the FieldFp

✍ H.E.A. Campbell; I.P. Hughes 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 135 KB

We use Nakajima's J. Algebra 85 1983 , 253᎐286 characterization of p-groups with polynomial rings of invariants over the field F to prove that maximal proper p subgroups of such groups have rings of invariants that are hypersurfaces. We give an explicit construction for the ring of invariants of suc

Normality of the Elementary Subgroups of

Normality of the Elementary Subgroups of Twisted Chevalley Groups over Commutative Rings

✍ K. Suzuki 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 426 KB

The Structure of Countably Generated Pro

The Structure of Countably Generated Projective Modules Over Regular Rings

✍ P. Ara; E. Pardo; F. Perera 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 287 KB

We prove that, for every regular ring R, there exists an isomorphism between the monoids of isomorphism classes of finitely generated projective right modules Ž Ž . . Ž . over the rings End R and RCFM R , where the latter denotes the ring of R R countably infinite row-and column-finite matrices over

On the Picard Group of the Integer Group

On the Picard Group of the Integer Group Ring of the Cyclic p-Group and Certain Galois Groups

✍ Alexander Stolin 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 324 KB

In the present paper we deal with the canonical projection Pic Z Here p is any odd prime number, `pk k =1 and C n is the cyclic group of order p n . I proved in (Stolin, 1997), that the canonical projection Pic Z[`n] Ä Cl Z[`n] can be split. If p is a properly irregular, not regular prime number, t