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321
Commutativity Degree of Certain Finite AC-Groups
Published 2021-12-01“…For a finite group G, the probability of two elements of G that commute is the commutativity degree of G denoted by P(G). …”
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322
Polynomial composites and certain types of fields extensions
Published 2023-06-01“…Moreover, in this paper we show that any finite group is a Galois group of some field extensions and present the inverse Galois problem solved.…”
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323
$p$-parts of co-degrees of irreducible characters
Published 2021-02-01“…For a character $\chi $ of a finite group $G$, the co-degree of $\chi $ is $\chi ^c(1)=\frac{[G:\ker \chi ]}{\chi (1)}$. …”
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324
Hamiltonian Normal Cayley Graphs
Published 2019-08-01“…A variant of the Lovász Conjecture on hamiltonian paths states that every finite connected Cayley graph contains a hamiltonian cycle. Given a finite group G and a connection set S, the Cayley graph Cay(G, S) will be called normal if for every g ∈ G we have that g−1Sg = S. …”
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325
On unit P-Groups in Group Algebra
Published 2009-04-01“…Abstract:The aim of this paper we have define the group of units U(F(G)), where F(G) is the group algebra with G is finite group over a field F. Now if char F=0 and G nonabelian or F is a nonabsolute field of characterstic > 0 and G/ O (G) is nonabelian, then it is well known that the group of unit U(K[G]) contains a nonabelain P-group.There for we will prove that there are two cyclic subgroups X and Y of G of prime power order and units uX U(K[X]) and uY U(K[X]) such that (uX,uY) contain nonabelian P-subgroups in linear group…”
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326
Characterization of some alternating groups by order and largest element order
Published 2022-02-01“…The prime graph (or Gruenberg-Kegel graph) of a finite group is a well-known graph. In this paper, first, we investigate the structure of the finite groups with a non-complete prime graph. …”
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327
On the Non-Inverse Graph of a Group
Published 2022-10-01“…Let (G, *) be a finite group and S = {u ∈ G|u ≠ u−1}, then the inverse graph is defined as a graph whose vertices coincide with G such that two distinct vertices u and v are adjacent if and only if either u * v ∈ S or v * u ∈ S. …”
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328
A generalization of Taketa's theorem on $\rm M$-groups II
Published 2023-02-01“…In the recent paper [A generalization of Taketa's theorem on $M$-groups, Quaestiones Mathematicae, (2022)], we give an upper bound $5/2$ for the average of non-monomial character degrees of a finite group $G$, denoted by $\mathrm{acd}_{nm}(G)$, which guarantees the solvability of $G$. …”
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329
Javier de Lucas and the ethics of immigration
Published 2023-06-01“…However, the questions that all of this asks us are not capable of avoiding the affirmation that the idea of distributive justice presupposes a finite group of individuals among whom to distribute, and that of self-determination, a right of the group to organize that distribution by itself. same. …”
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330
Completeness for concrete near-rings
Published 2004“…In this paper a completeness criterion for near-rings over a finite group is derived using techniques from clone theory. …”
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331
Mixed Hodge polynomials of character varieties: With an appendix by Nicholas M. Katz
Published 2008“…We calculate the E-polynomials of certain twisted GL(n,ℂ)-character varieties Mn of Riemann surfaces by counting points over finite fields using the character table of the finite group of Lie-type GL(n, q) and a theorem proved in the appendix by N. …”
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332
Constructing compact manifolds with exceptional holonomy
Published 2002“…The simplest such constructions work by using techniques from complex geometry and Calabi-Yau analysis to resolve the singularities of a torus orbifold T^7/G or T^8/G, for G a finite group preserving a flat G2 or Spin(7)-structure on T^7 or T^8. …”
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333
Dimer and polymer metamaterials with alternating electric and magnetic coupling
Published 2011“…The resulting dispersion characteristics are shown to be radically different from the classical acoustic and optical branches: the upper branch is a forward wave and the lower branch is a backward wave, and even the gap between the two pass bands may disappear yielding infinite phase, finite group-velocity wave. The theory is confirmed both by simulations and experiments. © 2011 American Physical Society.…”
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334
Fibre products, non-positive curvature, and decision problems
Published 2000“…We give a criterion for fibre products to be finitely presented and use it as the basis of a construction that encodes the pathologies of finite group presentations into pairs of groups P ⊂ G where G is a product of hyperbolic groups and P is a finitely presented subgroup. …”
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335
Mixed Hodge polynomials of character varieties
Published 2006“…We calculate the E-polynomials of certain twisted GL(n,C)-character varieties M_n of Riemann surfaces by counting points over finite fields using the character table of the finite group of Lie-type GL(n,F_q) and a theorem proved in the appendix by N. …”
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336
On the group rings of Abelian minimax groups
Published 2001“…Recall that the divisible abelian groups with min are direct products of finitely many quasicyclic groups (groups of type <em>C<sub>p</sub>∞</em>, for various primes <em>p</em>), and that an abelian group with min is the direct product of a divisible one with a finite group...</p>…”
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337
Degree sum energy of non-commuting graph for dihedral groups
Published 2022“…For a finite group G, let Z(G) be the centre of G. Then the non-commuting graph on G, denoted by ΓG, has G\Z(G) as its vertex set with two distinct vertices vp and vq joined by an edge whenever vpvq ≠ vqvp. …”
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338
Maximum and minimum degree energy of commuting graph for dihedral groups
Published 2022“…If is a finite group and is the centre of , then the commuting graph for , denoted by , has as its vertices set with two distinct vertices and are adjacent if . …”
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339
The disc structures of commuting involution graphs for certain simple groups
Published 2019“…Suppose is a finite group and is a subset of. The commuting graph on the set , whose vertex set with any two vertices connected by an edge if and only if they commute. …”
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340
A general case of the commutativity degree of nilpotent p-groups of class two
Published 2013“…Given a finite group, the commutativity degree of the group is defined as the probability that two elements of the group, chosen randomly with replacement, commute. …”
Conference or Workshop Item