Results 71 to 80 of about 735 (188)
Derangements in intransitive groups
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Let G$G$ be a nontrivial permutation group of degree n$n$. If G$G$ is transitive, then a theorem of Jordan states that G$G$ has a derangement. Equivalently, a finite group is never the union of conjugates of a proper subgroup. If G$G$ is intransitive, then G$G$ may fail to have a derangement, and this can happen even if G$G$ has only two ...
David Ellis, Scott Harper
wiley +1 more source
CLASSIFICATION OF FINITE p-GROUPS WITH METACYCLIC AUTOMORPHISMS GROUP
پژوهشهای ریاضی, 2021 In this paper we classify finite p-groups (p>2 ) with metacyclic automorphism group. Particularly we prove that the automorphism group of group G is metacyclic if and only if G is cyclic of order p^n.
Shirin Fouladi
doaj
16-vertex graphs with automorphism groups A4 and A5 from the icosahedron
Electronic Journal of Graph Theory and Applications, 2020 The article deals with the problem of finding vertex-minimal graphs with a given automorphism group. We exhibit two undirected 16-vertex graphs having automorphism groups A4 and A5.
Peteris Daugulis
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Alperin's bound and normal Sylow subgroups
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Let G$G$ be a finite group, p$p$ a prime number and P$P$ a Sylow p$p$‐subgroup of G$G$. Recently, Malle, Navarro, and Tiep conjectured that the number of p$p$‐Brauer characters of G$G$ coincides with that of the normalizer NG(P)${\bf N}_G(P)$ if and only if P$P$ is normal in G$G$.
Zhicheng Feng +2 more
wiley +1 more source
Automorphism Properties and Classification of Adinkras
Advances in Mathematical Physics, 2015 Adinkras are graphical tools for studying off-shell representations of supersymmetry. In this paper we efficiently classify the automorphism groups of Adinkras relative to a set of local parameters.
B. L. Douglas +3 more
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Journal of Algebra, 1989 Given a graph \(\Gamma=(V,E)\), the graph group \(F\langle\Gamma\rangle\) is the group with presentation \(\langle V\mid [E]\rangle\), where \([E]\) denotes the set of commutators \(\{[a,b]\mid\{a,b\}\in E\}\). The graph group \(F\langle\Gamma\rangle\) is modeled to be a group analog of the graph algebra K(\(\Gamma)\) generated as a free associative ...
openaire +2 more sources
Palindromic automorphisms of free groups
Journal of Algebra, 2015 19 ...
Bardakov, Valeriy G. +2 more
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Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane +3 more
wiley +1 more source
Upper bounds of orders of automorphism groups of leafless metric graphs
AKCE International Journal of Graphs and CombinatoricsWe prove a tropical analogue of the theorem of Hurwitz: A leafless metric graph of genus [Formula: see text] has at most 12 automorphisms when g = 2 and [Formula: see text] automorphisms when [Formula: see text].
Yusuke Nakamura, JuAe Song
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Free subsemigroups in automorphism group of a polynomial ring of two variables over number fields
Karpatsʹkì Matematičnì Publìkacìï, 2013 Sufficient conditions under which the semigroup generated by two automorphism of the polynomial ring in two variables over a number field $P$ will be free are given.
Zh. I. Dovghey, M. I. Sumaryuk
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