On homogeneous spaces with finite anti-solvable stabilizers by Lucchini Arteche, Giancarlo

“…We consider a particular family of anti-solvable finite groups containing the simple alternating groups for $n\ne 6$ and all 26 sporadic simple groups. …”
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Strongly aperiodic logarithmic signatures by Staszewski Reiner, van Trung Tran

“…Logarithmic signatures for finite groups are the essential constituent of public key cryptosystems and . …”
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On the Farrell cohomology of the mapping class group of non-orientable surfaces by Hope, G, Tillmann, U

“…Furthermore, we describe precisely which finite groups of odd order are subgroups of N g. © 2008 American Mathematical Society.…”

Bismash products and group algebras by Mahler, BI

“…The methods used involve results from group theory, the representation theory of algebras, and the theory of blocks of finite groups.…”

Direct factors of profinite completions and decidability by Bridson, M

“…We consider finitely presented,residually finite groups $G$ and finitely generated normal subgroups $A$ such that the inclusion $A\hookrightarrow G$ induces an isomorphism from the profinite completion of $A$ to a direct factor of the profinite completion of $G$. …”

Support varieties for selfinjective algebras by Erdmann, K, Holloway, M, Snashall, N, Solberg, O, Taillefer, R

“…Then many of the standard results from the theory of support varieties for finite groups generalize to this situation. In particular, the complexity of the module equals the dimension of its corresponding variety, all closed homogeneous varieties occur as the variety of some module, the variety of an indecomposable module is connected, periodic modules are lines and for symmetric algebras a generalization of Webb's theorem is true.…”

Gauged permutation invariant matrix quantum mechanics: path integrals by Denjoe O’Connor, Sanjaye Ramgoolam

“…Abstract We give a path integral construction of the quantum mechanical partition function for gauged finite groups. Our construction gives the quantization of a system of d, N × N matrices invariant under the adjoint action of the symmetric group S N . …”
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Group homomorphisms as error correcting codes by Guo, Alan Xinyu

“…We investigate the minimum distance of the error correcting code formed by the homomorphisms between two finite groups G and H. We prove some general structural results on how the distance behaves with respect to natural group operations, such as passing to subgroups and quotients, and taking products. …”
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A note on quasi-uniform distributions and Abelian group representability by Thomas, Eldho K., Oggier, Frederique

“…In this note, we study quasi-uniform distributions that are obtained from finite groups. We derive a few simple properties of entropic vectors obtained from Abelian groups, and consider the problem of determining when non-Abelian groups can provide richer entropic vectors than Abelian groups. …”
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On Some Problems in Group Theory of Probabilistic Nature by Mohd. Ali, Nor Muhainiah, Sarmin, Nor Haniza

“…In 1973, Gustafson did the same for finite groups while MacHale determined the abelianness for finite rings in 1974. …”
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Representations of some groups and galois stability by Malinin, Dmitry A., Sarmin, Nor Haniza, Mohd. Ali, Nor Muhainiah, Yahya, Zainab, Mohd. Adnan, Noor Asma’ Adny

“…We study arithmetic problems for representations of finite groups over algebraic number fields and their orders under the ground field extensions. …”

The wiener and zagreb indices of the order product prime graph by Bello, M., Ali, N. M. M., Isah, S. I., Zulkifli, N.

“…On the other hand, the order product prime graph of finite groups is a graph having the proper elements of a group as its vertices and there is an edge joining two vertices if and only if the product of their order is a prime power. …”

FACET CLASSIFICATIONS OF E-LEARNING TOOLS by Olena Yu. Balalaieva

“…The article deals with the classification of e-learning tools based on the facet method, which suggests the separation of the parallel set of objects into independent classification groups; at the same time it is not assumed rigid classification structure and pre-built finite groups classification groups are formed by a combination of values taken from the relevant facets. …”
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Minimal Euler characteristics for even-dimensional manifolds with finite fundamental group by Alejandro Adem, Ian Hambleton

“…As an application, we obtain new restrictions for nonabelian finite groups arising as fundamental groups of rational homology 4–spheres.…”
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Automorphismes, graduations et catégories triangulées by Rouquier, R

“…This allows us to transfer gradings between algebras and gives rise to conjectural homological constructions of interesting gradings on blocks of finite groups with abelian defect. We give applications to the lifting of stable equivalences to derived equivalences. …”

Verbal width in anabelian groups by Nikolov, N

“…The class A of anabelian groups is defined as the collection of finite groups without abelian composition factors. We prove that the commutator word [x1, x2] and the power word x1p have bounded width in A when p is an odd integer. …”

On the size of finite rational matrix semigroups by Bumpus, G, Haase, C, Kiefer, S, Stoienescu, P-I, Tanner, J

“…We show that any matrix in the semigroup is a product of matrices in M whose length is at most 2^{n (2 n + 3)} g(n)^{n+1} ∈ 2^{O(n² log n)}, where g(n) is the maximum order of finite groups over rational n × n-matrices. This result implies algorithms with an elementary running time for deciding finiteness of weighted automata over the rationals and for deciding reachability in affine integer vector addition systems with states with the finite monoid property.…”

Poset binomials and rainbow characters by Daniel Bragg, Nathaniel Thiem

“…These coefficients arise naturally in the study of supercharacters of the finite groups of unipotent upper-triangular matrices, whose representation theory is dictated by the combinatorics of set partitions. …”
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The generalized Gelfand–Graev characters of GLn(Fq) by Scott Andrews, Nathaniel Thiem

“…Introduced by Kawanaka in order to find the unipotent representations of finite groups of Lie type, gener- alized Gelfand–Graev characters have remained somewhat mysterious. …”
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THE AUTOMORPHISM GROUP OF A SHIFT OF LINEAR GROWTH: BEYOND TRANSITIVITY by VAN CYR, BRYNA KRA

“…We also classify all finite groups that arise as the automorphism group of a shift.…”
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