On higher dimensional self-similar axion–dilaton solutions
European Physical Journal C: Particles and Fields, 2020 We show that solutions of the self-similar gravitational collapse in the Einstein-axion–dilaton system exist in higher-dimensional spacetimes. These solutions are invariant under spacetime dilation combined with internal SL(2, $$\mathbb {R}$$ R ...
Ehsan Hatefi, Eleonora Vanzan
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Conjugacy classes of affine automorphisms of K^n and linear automorphisms of P^n in the Cremona groups [PDF]
, 2006 We describe the conjugacy classes of affine automorphisms in the group $Aut(n,\K)$ (respectively $Bir(\K^n)$) of automorphisms (respectively of birational maps) of $\K^n$.
Blanc, Jérémy
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Linear Groups with Restricted Conjugacy Classes [PDF]
Ricerche di Matematica, 2021 AbstractIn this paper we characterize, in terms of their conjugacy classes, linear groups G such that $$G/\zeta _k(G)$$ G / ζ k ( G
de Giovanni F. +2 more
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Integrable branes in generalized λ-deformations
Journal of High Energy Physics, 2022 We search for integrable boundary conditions and their geometric interpretation as D-branes, in models constructed as generalized λ-deformations of products of group- and coset-spaces.
Georgios P. D. Pappas
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Restrictions on sets of conjugacy class sizes in arithmetic progressions [PDF]
International Journal of Group Theory, 2023 We continue the investigation, that began in [M. Bianchi, A. Gillio and P. P. Pálfy, A note on finite groups in which the conjugacy class sizes form an arithmetic progression, Ischia group theory 2010, World Sci. Publ., Hackensack, NJ (2012) 20--25.] and
Alan R. Camina, Rachel D. Camina
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The number of conjugacy classes of elements of the Cremona group of some given finite order [PDF]
, 2006 This note presents the study of the conjugacy classes of elements of some given finite order n in the Cremona group of the plane. In particular, it is shown that the number of conjugacy classes is infinite if n is even, n=3 or n=5, and that it is equal ...
Blanc, Jérémy
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The one-prime power hypothesis for conjugacy classes restricted to normal subgroups and quotient groups [PDF]
International Journal of Group Theory, 2019 We say that a group $G$ satisfies the one-prime power hypothesis for conjugacy classes if the greatest common divisor for all pairs of distinct conjugacy class sizes are prime powers.
Julian Brough
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Mixed and Non-mixed Normal Subgroups of Dihedral Groups Using Conjugacy classes
Ratio Mathematica, 2021 In this paper, we characterize and compute the mixed and non-mixed basis of Dihedral groups. Also, by computing the conjugacy classes, we describe all the mixed and non-mixed normal subgroups of Dihedral Groups.
S. Vinod, G.S. Biju
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Designs from maximal subgroups and conjugacy classes of $\mathrm{PSL}(2,q)$, $q$ odd [PDF]
AUT Journal of Mathematics and Computing, 2023 In this paper, using a method of construction of $1$-designs which are not necessarily symmetric, introduced by Key and Moori, we determine a number of $1$-designs with interesting parameters from the maximal subgroups and the conjugacy classes of ...
Xavier Mbaale +2 more
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Conjugation in Semigroups [PDF]
, 2014 The action of any group on itself by conjugation and the corresponding conjugacy relation play an important role in group theory. There have been several attempts to extend the notion of conjugacy to semigroups. In this paper, we present a new definition
António Malheiro +42 more
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