# Algebraic realization for projective special linear actions

Algebraic realization for projective special linear actions Suppose q=pr\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$q=p^r$$\end{document}, where p is a prime congruent to 3 or 5 modulo 8 and r is odd or q=2r\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$q = 2^r$$\end{document} for any r. Then every closed smooth PSL(2,q)\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$${\text {PSL}}(2,q)$$\end{document} manifold has a strongly algebraic model. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Springer Journals

# Algebraic realization for projective special linear actions

, Volume 91 (1) – Apr 1, 2021
14 pages

/lp/springer-journals/algebraic-realization-for-projective-special-linear-actions-0tDcrl0JLY
Publisher
Springer Journals
Copyright © The Author(s), under exclusive licence to Mathematisches Seminar der Universität Hamburg 2021
ISSN
0025-5858
eISSN
1865-8784
DOI
10.1007/s12188-021-00236-0
Publisher site
See Article on Publisher Site

### Abstract

Suppose q=pr\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$q=p^r$$\end{document}, where p is a prime congruent to 3 or 5 modulo 8 and r is odd or q=2r\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$q = 2^r$$\end{document} for any r. Then every closed smooth PSL(2,q)\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$${\text {PSL}}(2,q)$$\end{document} manifold has a strongly algebraic model.

### Journal

Abhandlungen aus dem Mathematischen Seminar der Universität HamburgSpringer Journals

Published: Apr 1, 2021

Keywords: Algebraic models; Equivariant bordism; Primary 14P25; 57S15; Secondary 57S25