Results 31 to 40 of about 234 (126)
Equivariant Hilbert and Ehrhart series under translative group actions
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract We study representations of finite groups on Stanley–Reisner rings of simplicial complexes and on lattice points in lattice polytopes. The framework of translative group actions allows us to use the theory of proper colorings of simplicial complexes without requiring an explicit coloring to be given.
Alessio D'Alì, Emanuele Delucchi
wiley +1 more source
A generalized Frattini subgroup of a finite group
International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 2, Page 263-266, 1989., 1989 For a finite group G and an arbitrary prime p, let SP(G) denote the intersection of all maximal subgroups M of G such that [G:M] is both composite and not divisible by p; if no such M exists we set SP(G) = G. Some properties of G are considered involving SP(G).
Prabir Bhattacharya, N. P. Mukherjee
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Coprime actions with supersolvable fixed-point groups
, 2018 Let A be an elementary abelian r-group acting on a finite r ′
Hangyang Meng, Xiuyun Guo
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A Jordan–Chevalley decomposition beyond algebraic groups
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We prove a decomposition of definable groups in o‐minimal structures generalizing the Jordan–Chevalley decomposition of linear algebraic groups. It follows that any definable linear group G$G$ is a semidirect product of its maximal normal definable torsion‐free subgroup N(G)$\mathcal {N}(G)$ and a definable subgroup P$P$, unique up to ...
Annalisa Conversano
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A note on influence of subgroup restrictions in finite group structure
International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 4, Page 721-724, 1989., 1988 The structure of a finite group under specific restrictions respectively on its maximal, minimal and prime power subgroups has been investigated in this paper.
R. Khazal, N. P. Mukherjee
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Irreducible representations of semisimple algebraic groups and supersolvable lattices
, 2012 Let Λ be the cross section lattice of an irreducible representation of a semisimple algebraic group. Certain combinatorial properties of Λ are studied. Supersolvable Λʼs are determined in terms of Dynkin diagrams.
Can, Mahir Bilen, Mahir Bilen Can
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Inductive and divisional posets
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract We call a poset factorable if its characteristic polynomial has all positive integer roots. Inspired by inductive and divisional freeness of a central hyperplane arrangement, we introduce and study the notion of inductive posets and their superclass of divisional posets.
Roberto Pagaria +3 more
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Известия Иркутского государственного университета: Серия "Математика"The concept of $X$-permutable subgroup, introduced by A. N. Skiba, generalizes the classical concept of a permutable subgroup. Many classes of finite groups have been characterized in terms of $X$-permutable subgroups.
A. A. Galt, V. N. Tyutyanov
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Computing irreducible representations of supersolvable groups
, 1994 Recently, it has been shown that the ordinary irreducible representations of a supersolvable group G of order n given by a power-commutator presentation can be constructed in time O ( n 2
Ulrich Baum, Michael Clausen
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Finite group with some c#-normal and S-quasinormally embedded subgroups
Open MathematicsLet pp be a prime that divides the order of a finite group GG, and let PP be a Sylow pp-subgroup of GG. Assume that dd is the smallest number of generators of PP and define ℳd(P)={P1,P2,…,Pd}{{\mathcal{ {\mathcal M} }}}_{d}\left(P)=\left\{{P}_{1},{P}_{2},
Li Ning, Jiang Jing, Liu Jianjun
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