A twisted Burnside theorem for countable groups and Reidemeister numbers
The purpose of the present paper is to prove for finitely generated groups of type I the following conjecture of A.Fel'shtyn and R.Hill, which is a generalization of the classical Burnside theorem.
Fel'shtyn, Alexander, Troitsky, Evgenij
core
NEW REDUCTIONS AND LOGARITHMIC LOWER BOUNDS FOR THE NUMBER OF CONJUGACY CLASSES IN FINITE GROUPS [PDF]
AbstractThe unsolved problem of whether there exists a positive constant $c$ such that the number $k(G)$ of conjugacy classes in any finite group $G$ satisfies $k(G) \geq c \log _{2}|G|$ has attracted attention for many years. Deriving bounds on $k(G)$ from (that is, reducing the problem to) lower bounds on $k(N)$ and $k(G/N)$, $N\trianglelefteq G ...
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On the number of conjugacy classes of normalisers in a finite p-group [PDF]
Norberto Gavioli +3 more
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Rational conjugacy classes and rational characters for some finite simple groups
Preliminary version; 14 pages; 1 table; comments ...
Kaur, Dilpreet, Panja, Saikat
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Contributions from Conjugacy Classes of Regular Elliptic Elements in Hermitian Modular Groups to the Dimension Formula of Hermitian Modular Cusp Forms [PDF]
Minking Eie
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Product of conjugacy classes of complete cycles in the alternating group
Omar Tout
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Integration and conjugacy in knot theory
This thesis consists of three self-contained chapters. The first two concern quantum invariants of links and three manifolds and the third contains results on the word problem for link groups. In chapter 1 we relate the tree part of the Aarhus integral
Moffatt, Iain
core
This paper establishes a functorial algebraic isomorphism between the moduli space BCps(Σ,G) of polystable principal G-bundles with prescribed monodromy on a punctured Riemann surface Σ of genus g≥2, for a complex reductive Lie group G, and the character
Álvaro Antón-Sancho
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Conjugacy classes of solutions to equations and inequations over hyperbolic groups [PDF]
Daniel Groves, Henry Wilton
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Application of t-intuitionistic fuzzy subgroup to Sylow theory. [PDF]
Latif L, Shuaib U.
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