Výsledky vyhledávání - "Gary L. Walls"

Autor: Xuanlong Ma, Gary L. Walls, Kaishun Wang, Sanming Zhou

Publikováno v: SIAM Journal on Discrete Mathematics. 34:1909-1921

Let $\Gamma$ be a graph with vertex set $V(\Gamma)$. A subset $C$ of $V(\Gamma)$ is called a perfect code in $\Gamma$ if $C$ is an independent set of $\Gamma$ and every vertex in $V(\Gamma)\setminus C$ is adjacent to exactly one vertex in $C$. A subs

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42ed8feea506f111affe824f0a6ded7a
https://doi.org/10.1137/19m1258013

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Multiplicative Lie algebras

Autor: Gary L. Walls

Publikováno v: Volume: 43, Issue: 6 2888-2897
Turkish Journal of Mathematics

A multiplicative Lie algebra is a group together with a "bracket function" that satisfies the basic properties of the commutator function. This paper investigates the construction of such functions.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::040e3156ab405089c7e1972124225a12
https://doi.org/10.3906/mat-1904-55

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Some Sufficient conditions for a group to be abelian

Autor: Gary L. Walls

Publikováno v: TURKISH JOURNAL OF MATHEMATICS. 43:1776-1780

A group is said to satisfy a word $w$ in the symbols $\{x, x^{-1}, y, y^{-1} \}$ provided that if the 'x' and 'y' are replaced by arbitrary elements of the group then the equation $w=1$ is satisfied. This paper studies certain equations in words, as

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::57d7f2002f2bbb1976167fae83d5c373
https://doi.org/10.3906/mat-1901-6

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Power graphs of (non)orientable genus two

Autor: Gary L. Walls, Xuanlong Ma, Kaishun Wang

Publikováno v: Communications in Algebra. 47:276-288

The power graph $\Gamma_G$ of a finite group $G$ is the graph whose vertex set is the group, two distinct elements being adjacent if one is a power of the other. In this paper, we classify the finite groups whose power graphs have (non)orientable gen

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::890a50c61d36c53c40415e31beb4dbde
https://doi.org/10.1080/00927872.2018.1476522

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Rings associated to coverings of finite $p$-groups

Autor: Linhong Wang, Gary L. Walls

Publikováno v: TURKISH JOURNAL OF MATHEMATICS. 40:1340-1348

There is a natural way to associate a ring to any group. In this paper we characterize the rings associated to finite p-groups when the covering consists of maximal cyclic subgroups and subgroups of order p 2 .

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::159335bb25227ec4c863468d87f98ea4
https://doi.org/10.3906/mat-1504-57

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Remarks on commutators in finite groups

Autor: Marian Deaconescu, Gary L. Walls

Publikováno v: Journal für die reine und angewandte Mathematik (Crelles Journal). 2017:247-253

The main result of this paper is a formula, in terms of characters, for the number of elements of a normal subgroup H of a finite group G which are not commutators in G.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::711e3215223fd6790705532337a2608e
https://doi.org/10.1515/crelle-2014-0152

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Groups Acting on Groups

Autor: Gary L. Walls, Marian Deaconescu

Publikováno v: Algebra and Logic. 52:387-391

Combinatorial methods are used to give a characterization of finite groups G with Aut(G) Abelian and to show that if G is a finite group and α is an automorphism of G, then the number of fixed points of α in G is a multiple of the number of fixed p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d1b20bc417a4149998646cff8a40eba5
https://doi.org/10.1007/s10469-013-9250-9

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On orbits of automorphism groups II

Autor: Gary L. Walls, Marian Deaconescu

Publikováno v: Archiv der Mathematik. 92:200-205

Let G be a finite group, let A be a group of automorphisms of G and let C G (A) denote the subgroup of fixed points of A in G. If the order of C G (A) is coprime to the number of orbits of A in G, then C G (A) is contained in the autocommutator subgr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::24287f7b6fab17dcf1806f0bd8661146
https://doi.org/10.1007/s00013-009-3082-9

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On a theorem of Burnside on fixed-point-free automorphisms

Autor: Gary L. Walls, Marian Deaconescu

Publikováno v: Archiv der Mathematik. 90:97-100

We prove that a finite group having a fixed-point-free automorphism in the Fitting subgroup of its automorphism group must be abelian of rather restricted structure. As a consequence, no finite nonabelian group could have a fixed-point-free automorph

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3844f9c2ab694542f1e89409a228832f
https://doi.org/10.1007/s00013-007-2407-9

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