Results 101 to 110 of about 39,756 (284)
Automorphisms of the Dihedral Groups [PDF]
Proceedings of the National Academy of Sciences, 1942 Not ...
openaire +3 more sources
On Kotzig's Perfect Set Problem of Hamiltonian Cycle Decompositions of the Complete Graph
Journal of Combinatorial Designs, Volume 34, Issue 8, Page 388-409, August 2026.ABSTRACT A Hamiltonian cycle decomposition (HCD) of K n is a set of Hamiltonian cycles in which each 1‐path of K n appears exactly once. A Dudeney set of K n is a set of Hamiltonian cycles in which each 2‐path of K n appears exactly once. Kotzig's perfect set of HCDs of K n is a set of HCDs whose union forms a Dudeney set.
Nobuaki Mutoh
wiley +1 more source
Prime Fano threefolds of genus 12 with a $G_m$-action [PDF]
Épijournal de Géométrie Algébrique, 2018 We give an explicit construction of prime Fano threefolds of genus 12 with a $G_m$-action, describe their isomorphism classes and automorphism groups.
Alexander Kuznetsov, Yuri Prokhorov
doaj +1 more source
On automorphism groups of affine surfaces [PDF]
, 2015 This is a survey on the automorphism groups in various classes of affine algebraic surfaces and the algebraic group actions on such surfaces. Being infinite-dimensional, these automorphism groups share some important features of algebraic groups.
S. Kovalenko +2 more
semanticscholar +1 more source
An obstruction to the strong relative hyperbolicity of a group
, 2006 We give a simple combinatorial criterion for a group that, when satisfied, implies the group cannot be strongly relatively hyperbolic. Our criterion applies to several classes of groups, such as surface mapping class groups, Torelli groups, and ...
Javier Aramayona +5 more
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Transforming Solutions for the Oberwolfach Problem into Solutions for the Spouse‐Loving Variant
Journal of Combinatorial Designs, Volume 34, Issue 8, Page 361-377, August 2026.ABSTRACT The Oberwolfach problem OP ( F ), for a 2‐factor F of K n, asks whether there exists a 2‐factorization of K n (if n is odd) or K n − I (if n is even) where each 2‐factor is isomorphic to F. Here, I denotes any 1‐factor of K n. For even n, the problem OP ( F ) may also be denoted OP − ( F ), and has been nicknamed the spouse‐avoiding variant ...
Maruša Lekše, Mateja Šajna
wiley +1 more source
Open Mathematics, 2020 A Cayley graph Γ\Gamma on a group G is called a dual Cayley graph on G if the left regular representation of G is a subgroup of the automorphism group of Γ\Gamma (note that the right regular representation of G is always an automorphism group of Γ ...
Pan Jiangmin
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On the Geometry of the Automorphism Group of a Free Group
Bulletin of the London Mathematical Society, 1995 The groups \(\Aut(F_3)\) and \(\text{Out}(F_3)\) satisfy strictly exponential isoperimetric inequalities; in particular, they are not automatic. For \(n\geq 3\), \(\Aut(F_n)\) and \(\text{Out}(F_n)\) do not admit bounded bicombings of sub-exponential length, hence they cannot act properly and cocompactly by isometries of any simply-connected space of ...
Bridson, M, Vogtmann, K
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On Group Ring Automorphisms [PDF]
Algebras and Representation Theory, 2004 Let \(G\) be a finite group and \(R\) be a complete discrete valuation ring of characteristic \(0\). The authors study the group of those automorphisms \(\text{Outcent}(RG)\) of the group ring \(RG\) which fix the center of \(RG\) pointwise. As a main result of the paper the authors show that if \(B\) is a block of the group ring of \(G\) over the \(p\)
Hertweck, Martin, Nebe, Gabriele
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Cyclic permutable subgroups of finite groups [PDF]
, 2001 The authors describe the structure of the normal closure of a cyclic permutable subgroup of odd order in a finite ...
Cossey, John, Stonehewer, Stewart E.
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