Combinatorial Methods in Topology and Algebra
Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects.This book arises from the INdAM conference "CoMeTA 2013 - Combinatori
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Bruno Benedetti Emanuele Delucchi Luca Moci Editors
Combinatorial Methods in Topology and Algebra
Springer INdAM Series Volume 12
Editor-in-Chief V. Ancona Series Editors P. Cannarsa C. Canuto G. Coletti P. Marcellini G. Patrizio T. Ruggeri E. Strickland A. Verra
More information about this series at http://www.springer.com/series/10283
Bruno Benedetti • Emanuele Delucchi • Luca Moci Editors
Combinatorial Methods in Topology and Algebra
123
Editors Bruno Benedetti Department of Mathematics University of Miami Coral Gables Florida, USA
Emanuele Delucchi Département de Mathématiques Université de Fribourg Fribourg, Switzerland
Luca Moci IMJ-PRG Université Paris-Diderot - Paris 7 Paris, France
ISSN 2281-518X Springer INdAM Series ISBN 978-3-319-20154-2 DOI 10.1007/978-3-319-20155-9
ISSN 2281-5198
(electronic)
ISBN 978-3-319-20155-9
(eBook)
Library of Congress Control Number: 2015951780 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)
Contents
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . Bruno Benedetti, Emanuele Delucchi, and Luca Moci
1
Part I Extremal Graph Theory and Face Numbers of Flag Triangulations of Manifolds. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . Michał Adamaszek
7
Combinatorial Stratifications and Minimality of Two-Arrangements . . . . . Karim A. Adiprasito
11
Random Triangular Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . ´ ¸ tkowski Sylwia Antoniuk, Tomasz Łuczak, and Jacek Swia
15
Generalized Involution Models of Projective Reflection Groups . . . . . . . . . . . Fa
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