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Group Identities on Symmetric Units
2010Let F be an infinite field of characteristic different from 2 and G a group. We examine the set of units, \({\mathcal{U}}^{+}(FG)\), symmetric under the natural involution ∗ sending each group element to its inverse. The conditions under which \({\mathcal{U}}^{+}(FG)\) satisfies a group identity are presented, subject to the restriction that G ∕ T is a
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Identities and Inequalities via Symmetrization
1983The purpose of this survey paper is to examine some specific applications of the process of averaging over finite groups, compact topological groups, and compact homogeneous manifolds. These applications occur in a variety of different disciplines of pure and applied mathematics, such as (i) classical representation theory of finite groups, (ii ...
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Lie Identities on Symmetric Elements
2010Let F be a field of characteristic different from 2 and G a group. We examine the conditions under which the symmetric elements in FG are Lie nilpotent, bounded Lie Engel, or Lie solvable. For Lie solvability, some restrictions upon G are necessary.
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Some Symmetric Identities Involving Fubini Polynomials and Euler Numbers
Symmetry, 2018Jianhong Zhao, Zhuoyu Chen
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Symmetric Identities Involving <i>q</i>-Frobenius-Euler Polynomials under Sym (5)
Turkish Journal of Analysis and Number Theory, 2016Serkan Araci +2 more
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Symmetric Grothendieck polynomials, skew Cauchy identities, and dual filtered Young graphs
Journal of Combinatorial Theory - Series A, 2019Damir Yeliussizov
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Modified Bialternants and Symmetric Function Identities
Journal of the London Mathematical Society, 1950openaire +2 more sources

