Finite groups with many product conjugacy classes
Copyright policy )Finite groups with many product conjugacy classes
We classify all finite groups G such that the product of any two non-inverse conjugacy classes of G is always a conjugacy class of G. We also classify all finite groups G for which the product of any two G-conjugacy classes which are not inverse modulo the center of G is again a conjugacy class of G.
I withdraw this paper from arXiv, because it has been published in Israel Journal of Mathematics
- University of Illinois at Urbana Champaign United States
- Harish-Chandra Research Institute India
- Kerala School of Mathematics India
General structure theorems for groups, finite \(p\)-groups, Finite nilpotent groups, \(p\)-groups, FOS: Mathematics, Camina groups, Group Theory (math.GR), Mathematics - Group Theory, Conjugacy classes for groups, products of conjugacy classes
General structure theorems for groups, finite \(p\)-groups, Finite nilpotent groups, \(p\)-groups, FOS: Mathematics, Camina groups, Group Theory (math.GR), Mathematics - Group Theory, Conjugacy classes for groups, products of conjugacy classes
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