On a subfactor generalization of Wallʼs conjecture
Copyright policy )On a subfactor generalization of Wallʼs conjecture
In this paper we discuss a conjecture on intermediate subfactors which is a generalization of Wall's conjecture from the theory of finite groups. We explore special cases of this conjecture and present supporting evidence. In particular we prove special cases of this conjecture related to some finite dimensional Kac Algebras of Izumi-Kosaki type which include relative version of Wall's conjecture for solvable groups.
16 pages
- University of Rome Tor Vergata Italy
- University of California System United States
- UNIVERSITY OF SOUTHERN CALIFORNIA United States
- University of California, Riverside United States
Algebra and Number Theory, Walls's conjecture, Mathematics - Operator Algebras, Group Theory (math.GR), Subfactors and their classification, subfactors, Linear algebraic groups over finite fields, Maximal subgroups, FOS: Mathematics, maximal subgroups, Operator Algebras (math.OA), Subfactors, Mathematics - Group Theory, Arithmetic and combinatorial problems involving abstract finite groups
Algebra and Number Theory, Walls's conjecture, Mathematics - Operator Algebras, Group Theory (math.GR), Subfactors and their classification, subfactors, Linear algebraic groups over finite fields, Maximal subgroups, FOS: Mathematics, maximal subgroups, Operator Algebras (math.OA), Subfactors, Mathematics - Group Theory, Arithmetic and combinatorial problems involving abstract finite groups
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