✦ LIBER ✦

Quadratic Endofunctors of the Category of Groups

✍ Scribed by Hans-Joachim Baues; Teimuraz Pirashvili

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 259 KB
Volume: 141
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.1998.1784

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The Brauer Group of a Braided Monoidal C

The Brauer Group of a Braided Monoidal Category

✍ Fred Van Oystaeyen; Yinhuo Zhang 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 337 KB

Automorphism Groups of Graphs with Quadr

Automorphism Groups of Graphs with Quadratic Growth

✍ Norbert Seifter; Vladimir I. Trofimov 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 275 KB

Let 1 be a graph with almost transitive group Aut(1) and quadratic growth. We show that Aut(1) contains an almost transitive subgroup isomorphic to the free abelian group Z 2 .

Doubles, Finiteness Properties of Groups

Doubles, Finiteness Properties of Groups, and Quadratic Isoperimetric Inequalities

✍ Martin R Bridson 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 128 KB

We describe a doubling construction that gives many new examples of groups that satisfy a quadratic isoperimetric inequality. Using this construction, we prove that the presence of a quadratic isoperimetric inequality does not constrain the Ž . higher finiteness properties of a group in contrast to

The Action of the Symplectic Group Assoc

The Action of the Symplectic Group Associated with a Quadratic Extension of Fields

✍ Claudio G. Bartolone; M.Alessandra Vaccaro 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 233 KB

Given a quadratic extension L/K of fields and a regular alternating space V f of finite dimension over L, we classify K-subspaces of V which do not split into the orthogonal sum of two proper K-subspaces. This allows one to determine the orbits of the group Sp L V f in the set of K-subspaces of V .

Picard Groups, Grothendieck Rings, and B

Picard Groups, Grothendieck Rings, and Burnside Rings of Categories

✍ J.P. May 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 138 KB

for spurring me to write these observations, and I thank Halvard Fausk and Gaunce Lewis for careful readings of several drafts and many helpful comments. I thank Madhav Nori and Hyman Bass for help with the ring theory examples and Peter Freyd, Michael Boardman, and Neil Strickland for facts about c

The Derived Categories of Some Blocks of

The Derived Categories of Some Blocks of Symmetric Groups and a Conjecture of Broué

✍ Joseph Chuang 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 282 KB

A well-known conjecture of Broue in the representation theory of finite groups ínvolves equivalences of derived categories of blocks. The aim of this paper is to verify this conjecture for defect 2 blocks of symmetric groups. Actually we prove for these blocks a refinement of Broue's conjecture due