Cover Image

Symmetric polytopes whose automorphism groups are 2-groups

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Cunningham, Gabriel, Feng, Yan-Quan, Hou, Dong-Dong, Schulte, Egon
Format:	Preprint
Published:	2025
Subjects:	Group Theory 20B25, 52B15, 51M20
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

String C-groups of 2-power order project onto a common string C-group
by: Hou, Dong-Dong, et al.
Published: (2026)

Chiral polytopes of order $2p^m$
by: Kong, Ting-Ting, et al.
Published: (2025)

String C-groups of order $4p^m$
by: Hou, Dong-Dong, et al.
Published: (2024)

Chiral Polyhedra from AGL(1,q)
by: Angelone, Evan, et al.
Published: (2026)

Non-crystallographic tail-triangle C-groups of rank 4 and interlacing number 2
by: Loyola, Mark L., et al.
Published: (2022)

Two-Orbit Polytopes
by: Hubard, Isabel, et al.
Published: (2026)

Regular $3$-polytopes of order $2^np$
by: Hou, Dong-Dong, et al.
Published: (2020)

An elementary classification of the quaternionic reflection groups of rank two
by: Waldron, Shayne
Published: (2025)

Nonexistence of generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle ${\rm PSU}(3,q)$, $q\geq 3$
by: Lu, Jianbing, et al.
Published: (2024)

A new algorithm for the volume of a convex polytope
by: Lasserre, J. B., et al.
Published: (2001)

Two gluing methods for string C-group representations of the symmetric groups
by: Leemans, Dimitri, et al.
Published: (2025)

Regular polytopes of rank $n/2$ for transitive groups of degree $n$
by: Fernandes, Maria Elisa, et al.
Published: (2024)

Skeletal Snub Polyhedra in Ordinary Space, I
by: Schulte, Egon, et al.
Published: (2026)

Proper partial linear spaces affording imprimitive rank 3 automorphism groups
by: Baykalov, Anton A., et al.
Published: (2025)

The half-automorphism group of code loops
by: de Barros, Dylene Agda Souza, et al.
Published: (2026)

Regular polytopes, sphere packings and Apollonian sections
by: Rasskin, Iván
Published: (2021)

Soft planes and groups
by: Kantor, William M.
Published: (2024)

Symmetric Cayley graphs on non-abelian simple groups of valency 7
by: Zhang, Xing, et al.
Published: (2024)

The quaternionic systems of imprimitivity for the reflection groups of rank two
by: Waldron, Shayne
Published: (2026)

On the full automorphism groups of $2$-designs constructed from finite fields ${\mathbb F}_{2^n}$
by: Le, Tung, et al.
Published: (2025)

Quaternionic MUBs in H^2 and their reflection symmetries
by: Buckley, Zachary, et al.
Published: (2025)

Rigidity of polytopes with edge length and coplanarity constraints
by: Himmelmann, Matthias, et al.
Published: (2025)

Kalai's $3^{d}$ conjecture for unconditional and locally anti-blocking polytopes
by: Sanyal, Raman, et al.
Published: (2023)

Generalized quaternion NCI-groups, NNN-groups and NNND-groups
by: Yang, Jun-Feng, et al.
Published: (2026)

On flag-transitive automorphism groups of $2$-designs with $λ$ prime
by: Alavi, Seyed Hassan, et al.
Published: (2025)

Almost simple groups as flag-transitive automorphism groups of 2-designs with λ = 2
by: Alavi, Seyed Hassan
Published: (2023)

Low rank groups of Lie type acting point and line-primitively on finite generalised quadrangles
by: Arumugam, Vishnuram, et al.
Published: (2024)

Tactical decompositions in finite polar spaces and non-spreading classical group actions
by: Bamberg, John, et al.
Published: (2024)

Affine groups as flag-transitive and point-primitive automorphism groups of symmetric designs
by: Alavi, Seyed Hassan, et al.
Published: (2024)

2-(v,k,3) designs admitting an almost simple, flag-transitive automorphism group with socle PSL(2,q)
by: Liang, Hongxue, et al.
Published: (2025)

The number of inscribed and circumscribed graphs of a convex polyhedron
by: Aliyev, Yagub N.
Published: (2023)

On the proportion of derangements and on suborbits in finite transitive groups
by: Barbieri, Marco, et al.
Published: (2024)

Abstract Regular Polytopes of Finite Irreducible Coxeter Groups
by: Chen, Malcolm Hoong Wai, et al.
Published: (2025)

Finite approximation of free groups II: the Theorems of Ash, Herwig-Lascar and Ribes-Zalesskii -- revisited and strengthened
by: Auinger, K., et al.
Published: (2025)

Enumeration of skew morphisms of cyclic $2$-groups
by: Bachratý, Martin
Published: (2026)

Commutative decomposition of infinite symmetric groups and transformation monoids
by: Elliott, Luna, et al.
Published: (2026)

New 2-closed groups that are not automorphism groups of digraphs
by: Bamberg, John, et al.
Published: (2023)

Normal and non-normal Cayley digraphs on cyclic and dihedral groups
by: Yang, Jun-Feng, et al.
Published: (2025)

Locally dihedral block designs and primitive groups with dihedral point stabilizers
by: Chen, Jianfu, et al.
Published: (2026)

Inscribable fans I: Inscribed cones and virtual polytopes
by: Manecke, Sebastian, et al.
Published: (2020)