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441
The varieties for some Specht modules
Published 2014“…Carlson introduced the cohomological and rank variety for a module over a finite group algebra. We give a general form for the largest component of the variety for the Specht module for the partition (pp) of p2 restricted to a maximal elementary abelian p-subgroup of rank p. …”
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Journal Article -
442
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443
A study of some finite permutation groups
Published 1966“…Theorem 4: If H is a finite group, F is a field whose characteristic is 0 or does not divide the order of H, and M is a non-trivial irreducible H-module of dimension m over F, then there is an element h in H whose fixed-point space in M has dimension less than m/2. …”
Thesis -
444
A reduced tensor product of braided fusion categories over a symmetric fusion category
Published 2017“…ByTannaka duality, A= Rep(G) (or Rep(G; w)) for a finite group G (or finite super-group (G,w)). Under this identication Z(A) = VectG[G], the category of G-equivariant vector bundles over G, and we show that the symmetric tensor product corresponds to (a super version of) to the brewise tensor product. …”
Thesis -
445
Integrality, duality and finiteness in combinatoric topological strings
Published 2022-01-01“…Abstract A remarkable result at the intersection of number theory and group theory states that the order of a finite group G (denoted |G|) is divisible by the dimension d R of any irreducible complex representation of G. …”
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446
Some Results of The Coprime Graph of a Generalized Quaternion Group Q_4n
Published 2021-05-01“…Abstract The Coprime graph is a graph from a finite group that is defined based on the order of each element of the group. …”
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Article -
447
On conjunctive complex fuzzification of Lagrange's theorem of ξ−CFSG
Published 2023-06-01“…In this paper, the conjunctive complex fuzzy order of an element belonging to a conjunctive complex fuzzy subgroup of a finite group is introduced. Several algebraic properties of this concept are established and a formula is developed to calculate the conjunctive complex fuzzy order of any of its powers in this study. …”
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Article -
448
Primes and G-primes in $$\mathbb {Z}$$ Z -nearalgebras
Published 2023-04-01“…Abstract Let N be a $$\mathbb {Z}$$ Z -nearalgebra; that is, a left nearring with identity satisfying $$ k(nn^{\prime })=(kn)n^{\prime }=n(kn^{\prime })$$ k ( n n ′ ) = ( k n ) n ′ = n ( k n ′ ) for all $$k\in \mathbb {Z}$$ k ∈ Z , $$n,n^{\prime }\in N$$ n , n ′ ∈ N and G be a finite group acting on N. Then the skew group nearring $$N*G$$ N ∗ G of the group G over N is formed. …”
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Article -
449
Rational and quasi-permutation representations of holomorphs of cyclic $p$-groups
Published 2022-09-01“…For a finite group $G$, three of the positive integers governing its representation theory over $\mathbb{C}$ and over $\mathbb{Q}$ are $p(G),q(G),c(G)$. …”
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Article -
450
Multi-Stage Feature Extraction and Classification for Ship-Radiated Noise
Published 2021-12-01“…In the proposed method, first, we enhance the decomposition operation of the conventional VMD by decomposing the SRN signal into a finite group of intrinsic mode functions (IMFs) and then calculate the WPE of each IMF. …”
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451
Hopf Modules and Representations of Finite Wreath Products
Published 2017“…For a finite group G and nonnegative integer n ≥ 0, one may consider the associated tower G≀S[subscript n]:=S[subscript n]⋉G[superscript n] of wreath product groups. …”
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452
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453
Entanglement entropy for (3+1)-dimensional topological order with excitations
Published 2018“…We are mainly interested in (3+1)D topological order that can be realized in Dijkgraaf-Witten (DW) gauge theories, which are labeled by a finite group G and its group 4-cocycle ω∈H⁴[G;U(1)] up to group automorphisms. …”
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454
Load Balancing for Mobility-on-Demand Systems
Published 2013“…In this paper we develop methods for maximizing the throughput of a mobility-on-demand urban transportation system. We consider a finite group of shared vehicles, located at a set of stations. …”
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455
Twisted gauge theory model of topological phases in three dimensions
Published 2015“…We propose an exactly solvable lattice Hamiltonian model of topological phases in 3+1 dimensions, based on a generic finite group G and a 4-cocycle ω over G. We show that our model has topologically protected degenerate ground states and obtain the formula of its ground state degeneracy on the 3-torus. …”
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456
Otto Hölder and the development of group theory and Galois theory
Published 1993“…The subjects of these chapters are successively the re-formulation of Galois theory, the concept of quotient group, the Jordan—Holder Theorem for finite groups, the search for simple groups, the structure theory of finite groups and group extension theory. …”
Thesis -
457
The energy and seidel energy of cayley graphs associated to dihedral, alternating and symmetric groups
Published 2021“…This research combines the topics in graph theory with group theory, namely on the energy and Seidel energy for Cayley graphs, with some finite groups, namely dihedral groups, alternating groups, and symmetric groups. …”
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Thesis -
458
A systematic approach to group properties using its geometric structure
Published 2020“…In this paper, we define the graph that establishes a systematic relationship among the group elements. Let G be a finite group, the order product prime graph of a group G, is a graph having the elements of G as its vertices and two vertices are adjacent if and only if the product of their order is a prime power. …”
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459
Using the Gaia Excess Uncertainty as a Proxy for Stellar Variability and Age
Published 2023-01-01“…In practice, age uncertainties are larger, primarily due to the finite group size. The index is most useful at the youngest ages (<100 Myr), where the uncertainties are comparable to or better than those derived from a color–magnitude diagram (CMD). …”
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460
Complex Interval-Valued q-Rung Orthopair Fuzzy Hamy Mean Operators and Their Application in Decision-Making Strategy
Published 2022-03-01“…To investigate the decision-making problems based on CIVq-ROF information, we suggested the following multi-attribute decision-making (MADM) technique to determine the beneficial term from the finite group of alternatives with the help of evaluating several examples. …”
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