A Study of the Number of Roots of xk = g in a Finite Group via Its Frobenius-Schur Indicators

DOI10.1142/S1005386717000062zbMath1397.20019OpenAlexW2588075853MaRDI QIDQ2970188

S. K. Prajapati, Ritumoni Sarma

Publication date: 28 March 2017

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386717000062

zbMATH Keywords

\(p\)-groupsFrobenius-Schur indicatorsgroup characters

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Gleichungen in endlichen Gruppen
• A characteristic subgroup of a \(p\)-group
• The Magma algebra system. I: The user language
• ON THE SOLUTIONS OF x^κ= g IN A FINITE GROUP
• Finite -groups all of whose proper subgroups have cyclic Frattini subgroups
• On minimal faithful permutation representations of finite groups
• A note on generalized characters
• Finite Exceptionalp-Groups of Small Order
• On a Theorem of Frobenius

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