Results 61 to 70 of about 17,115,327 (210)
Permutation-Based Distances for Groups and Group-Valued Time Series
EntropyPermutations on a set, endowed with function composition, build a group called a symmetric group. In addition to their algebraic structure, symmetric groups have two metrics that are of particular interest to us here: the Cayley distance and the Kendall ...
José M. Amigó, Roberto Dale
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Random graph products of finite groups are rational duality groups
, 2013 Given an edge-independent random graph G(n,p), we determine various facts about the cohomology of graph products of groups for the graph G(n,p). In particular, the random graph product of a sequence of finite groups is a rational duality group with ...
Davis, Michael W., Kahle, Matthew
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Introduction to Sporadic Groups
Symmetry, Integrability and Geometry: Methods and Applications, 2011 This is an introduction to finite simple groups, in particular sporadic groups, intended for physicists. After a short review of group theory, we enumerate the 1+1+16=18 families of finite simple groups, as an introduction to the sporadic groups.
Luis J. Boya
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Interval groups related to finite Coxeter groups Part II
Transactions of the London Mathematical Society, 2023 We provide a complete description of the presentations of the interval groups related to quasi‐Coxeter elements in finite Coxeter groups. In the simply laced cases, we show that each interval group is the quotient of the Artin group associated with the ...
Barbara Baumeister +3 more
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Finite Groups Having Nonnormal T.I. Subgroups
, 2018 In the present paper, the structure of a finite group $G$ having a nonnormal T.I. subgroup $H$ which is also a Hall $\pi$-subgroup is studied. As a generalization of a result due to Gow, we prove that $H$ is a Frobenius complement whenever $G$ is $\pi ...
Kızmaz, M. Yasir
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Non-Abelian Sequenceable Groups Involving ?-Covers [PDF]
Journal of Sciences, Islamic Republic of Iran, 2009 A non-abelian finite group is called sequenceable if for some positive integer , is -generated ( ) and there exist integers such that every element of is a term of the -step generalized Fibonacci sequence , , , .
H. Doostie
doaj
Order divisor graphs of finite groups
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 The interplay between groups and graphs have been the most famous and productive area of algebraic graph theory. In this paper, we introduce and study the graphs whose vertex set is group G such that two distinct vertices a and b having di erent orders ...
Rehman S. U. +3 more
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Finite groups of the same type as Suzuki groups [PDF]
International Journal of Group Theory, 2019 For a finite group $G$ and a positive integer $n$, let $G(n)$ be the set of all elements in $G$ such that $x^{n}=1$. The groups $G$ and $H$ are said to be of the same (order) type if $|G(n)|=|H(n)|$, for all $n$. The main aim of this paper is to
Seyed Hassan Alavi +2 more
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FINITE AXIOMATIZATION OF FINITE SOLUBLE GROUPS
Journal of the London Mathematical Society, 2006 It is proved that the finite soluble groups can be characterized among finite groups by a first-order sentence, namely, the sentence that asserts that no non-trivial element $g$ is a product of 56 commutators $[x,y]$ with entries $x$, $y$ conjugate to $g$.
openaire +2 more sources
Integral Sets and Cayley Graphs of Finite Groups
Electronic Journal of Combinatorics, 2012 Integral sets of finite groups are discussed and related to the integral Cayley graphs. The Boolean algebra of integral sets are determined for dihedral group and finite abelian groups.
Roger C. Alperin, B. Peterson
semanticscholar +1 more source