Tr. Mat. Inst. Steklova, 2015, Volume 288, Pages 248–264
This article is cited in 1 scientific paper (total in 1 paper)
Cube-like incidence complexes and their groups
Andrew C. Duke, Egon Schulte
Department of Mathematics, Northeastern University, Boston, MA 02115, USA
The article studies power complexes and generalized power complexes, and investigates the algebraic structure of their automorphism groups. The combinatorial incidence structures involved are cube-like, in the sense that they have many structural properties in common with higher dimensional cubes and cubical tessellations on manifolds. Power complexes have repeatedly appeared in applications.
|The second author was supported by NSA-grant H98230-14-1-0124.
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Proceedings of the Steklov Institute of Mathematics, 2015, 288, 226–242
Received in August 2014
Andrew C. Duke, Egon Schulte, “Cube-like incidence complexes and their groups”, Geometry, topology, and applications, Collected papers. Dedicated to Professor Nikolai Petrovich Dolbilin on the occasion of his 70th birthday, Tr. Mat. Inst. Steklova, 288, MAIK Nauka/Interperiodica, Moscow, 2015, 248–264; Proc. Steklov Inst. Math., 288 (2015), 226–242
Citation in format AMSBIB
\by Andrew~C.~Duke, Egon~Schulte
\paper Cube-like incidence complexes and their groups
\inbook Geometry, topology, and applications
\bookinfo Collected papers. Dedicated to Professor Nikolai Petrovich Dolbilin on the occasion of his 70th birthday
\serial Tr. Mat. Inst. Steklova
\publ MAIK Nauka/Interperiodica
\jour Proc. Steklov Inst. Math.
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This publication is cited in the following articles:
E. Schulte, “Regular incidence complexes, polytopes, and C-groups”, Discrete Geometry and Symmetry: Dedicated to Karoly Bezdek and Egon Schulte on the Occasion of Their 60th Birthdays, Springer Proceedings in Mathematics & Statistics, 234, eds. M. Conder, A. Deza, A. Weiss, Springer, 2018, 311–333
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