The varieties for some Specht modules by Lim, Kay Jin

“…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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The energy and seidel energy of cayley graphs associated to dihedral, alternating and symmetric groups by Ahmad Fadzil, Amira Fadina

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A study of some finite permutation groups by Neumann, P

“…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. …”

A reduced tensor product of braided fusion categories over a symmetric fusion category by Wasserman, T

“…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. …”

Integrality, duality and finiteness in combinatoric topological strings by Robert de Mello Koch, Yang-Hui He, Garreth Kemp, Sanjaye Ramgoolam

“…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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Some Results of The Coprime Graph of a Generalized Quaternion Group Q_4n by Nurhabibah Nurhabibah, Abdul Gazir Syarifudin, I Gede Adhitya Wisnu Wardhana

“…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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On conjunctive complex fuzzification of Lagrange's theorem of ξ−CFSG by Aneeza Imtiaz, Umer Shuaib

“…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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Primes and G-primes in $$\mathbb {Z}$$ Z -nearalgebras by Shalini Chandel, Ram Parkash Sharma

“…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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Rational and quasi-permutation representations of holomorphs of cyclic $p$-groups by Soham Pradhan, B. Sury

“…‎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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Multi-Stage Feature Extraction and Classification for Ship-Radiated Noise by Hamada Esmaiel, Dongri Xie, Zeyad A. H. Qasem, Haixin Sun, Jie Qi, Junfeng Wang

“…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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Hopf Modules and Representations of Finite Wreath Products by Shelley-Abrahamson, Seth

“…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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Representation theory of the global Cherednik algebra by Thompson, Daniel (Daniel Craig)

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Entanglement entropy for (3+1)-dimensional topological order with excitations by Wen, Xueda, He, Huan, Tiwari, Apoorv, Zheng, Yunqin, Ye, Peng

“…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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Load Balancing for Mobility-on-Demand Systems by Durrant-Whyte, H., Roy, Nicholas, Abbeel, P.

“…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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Twisted gauge theory model of topological phases in three dimensions by Wan, Yidun, He, Huan, Wang, Juven

“…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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Otto Hölder and the development of group theory and Galois theory by Nicholson, J

“…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. …”

The energy and seidel energy of cayley graphs associated to dihedral, alternating and symmetric groups by Ahmad Fadzil, Amira Fadina

“…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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A systematic approach to group properties using its geometric structure by Bello, M., Ali, N. M. M., Zulkifli, N.

“…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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Using the Gaia Excess Uncertainty as a Proxy for Stellar Variability and Age by Madyson G. Barber, Andrew W. Mann

“…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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Complex Interval-Valued q-Rung Orthopair Fuzzy Hamy Mean Operators and Their Application in Decision-Making Strategy by Zeeshan Ali, Tahir Mahmood, Dragan Pamucar, Chuliang Wei

“…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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