Results 61 to 70 of about 1,144 (198)
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
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On Nielsen equivalence classes of two‐element generators of mapping class groups
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract We show that there are infinitely many Nielsen equivalence classes of the mapping class group of a closed oriented surface of genus at least eight.
Susumu Hirose, Naoyuki Monden
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ON EQUALITY OF ABSOLUTE CENTRAL AND CLASS PRESERVING AUTOMORPHISMS OF FINITE p-GROUPS [PDF]
Journal of Algebraic Systems, 2019 Let $G$ be a finite non-abelian $p$-group and $L(G)$ denotes the absolute center of $G$. Also, let $Aut^{L}(G)$ and $Aut_c(G)$ denote the group of all absolute central and the class preserving automorphisms of $G$, respectively.
Rasoul Soleimani
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Automorphisms in Varieties of Groups
Journal of Algebra, 1995 If \(N\) is a characteristic subgroup of the group \(G\), then each automorphism of \(G\) induces an automorphism on \(G/N\) and so there is a homomorphism \(\pi:\text{Aut}(G)\to\text{Aut}(G/N)\). Thus if \(V\) is a variety of groups, \(V(F_n)\) the verbal subgroup corresponding to \(V\) and \(F_n(V)\cong F_n/V(F)\) the relatively free group of \(V ...
Bryant, R. M., Papistas, A. I.
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Groups with a finite Busemann boundary are virtually cyclic
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract This note is a continuation of the study of the relationship between the geometry of Cayley graphs and the size of its metric‐functional boundary. We show that if there exists a Cayley graph with finitely many Busemann points, then the underlying group is virtually cyclic.
Corentin Bodart +2 more
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The automorphism group of the Andrásfai graph [PDF]
Discrete Mathematics Letters, 2022 Seyed Morteza Mirafzal
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Automorphisms of Some Magmas of Order $k+k^2$
Известия Иркутского государственного университета: Серия "Математика", 2018 This paper is devoted to the study of automorphisms of finite magmas and to the representation of the symmetric permutation group $ S_k $ and some of its subgroups by automorphism groups of finite magmas.
A.V. Litavrin
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Fine multidegrees, universal Gröbner bases, and matrix Schubert varieties
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We give a criterion for a collection of polynomials to be a universal Gröbner basis for an ideal in terms of the multidegree of the closure of the corresponding affine variety in (P1)N$(\mathbb {P}^1)^N$. This criterion can be used to give simple proofs of several existing results on universal Gröbner bases.
Daoji Huang, Matt Larson
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Automorphisms of the generalized cluster complex
The American Journal of CombinatoricsWe exhibit a dihedral symmetry in the generalized cluster complex defined by Fomin and Reading. Together with diagram symmetries, they generate the automorphism group of the complex.
Matthieu Josuat-Vergès
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On the automorphism group of a matroid
Discrete Mathematics, 1972 AbstractWe show that for any group H (finite or infinite) there exists an independence structure with automorphism group isomorphic to H. The proof is by construction and shows that for any H there is a geometric lattice with automorphism group isomorphic to H.
Harary, Frank +2 more
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