COMPUTING THE PRODUCTS OF CONJUGACY CLASSES FOR SPECIFIC FINITE GROUPS
COMPUTING THE PRODUCTS OF CONJUGACY CLASSES FOR SPECIFIC FINITE GROUPS
Summary: Suppose \(G\) is a finite group, \(A\) and \(B\) are conjugacy classes of \(G\), and \(\eta(AB)\) denotes the number of conjugacy classes contained in \(AB\). The set of all \(\eta(AB)\), such that \(A, B\) run over conjugacy classes of \(G\) is denoted by \(\eta(G)\). The aim of this paper is to compute \(\eta(G)\), for \(G \in \{ D_{2n}, T_{4n}, U_{6n}, V_{8n}, SD_{8n}\}\) or \(G\) is a decomposable group of order \(2pq\), a group of order \(4p\) or \(p^3\), where \(p\) and \(q\) are primes.
- University of Kashan Iran (Islamic Republic of)
Ordinary representations and characters, Finite nilpotent groups, \(p\)-groups, conjugacy class, \(p\)-group, Arithmetic and combinatorial problems involving abstract finite groups, \(G\)-invariant subset, Conjugacy classes for groups
Ordinary representations and characters, Finite nilpotent groups, \(p\)-groups, conjugacy class, \(p\)-group, Arithmetic and combinatorial problems involving abstract finite groups, \(G\)-invariant subset, Conjugacy classes for groups
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