Results 41 to 50 of about 3,182 (219)
Quotients for Sheets of Conjugacy Classes [PDF]
, 2019 We provide a description of the orbit space of a sheet S for the conjugation action of a complex simple simply connected algebraic group G. This is obtained by means of a bijection between S/G and the quotient of a shifted torus modulo the action of a subgroup of the Weyl group and it is the group analogue of a result due to Borho and Kraft.
Carnovale, Giovanna, Esposito, Francesco
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COPRIME CONJUGACY CLASS SIZES [PDF]
Asian-European Journal of Mathematics, 2009 We consider finite groups in which every triple of distinct conjugacy class sizes greater than one has a pair which is coprime. We prove such a group is soluble and has conjugate rank at most three.
Camina, A. R., Camina, R. D.
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Commuting involution graphs for [(A)\tilde]n [PDF]
, 2006 In this article we consider the commuting graphs of involution conjugacy classes in the affine Weyl group A~n. We show that where the graph is connected the diameter is at most 6.
Hart, Sarah, Hart, Sarah B.
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Groups with iterated restrictions on conjugacy classes [PDF]
, 2023 Let be a group class (such as the class of all finite groups). Starting from , we can define the class C of all groups G such that, for any g G, the co-centralizer G/CG((g)G) of g in G is an -group; of course, if = , these are the well-known FC-groups ...
Ferrara M., Trombetti M.
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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
doaj +1 more source
Coprime invariable generation and minimal-exponent groups [PDF]
, 2015 Colva Roney-Dougal acknowledges the support of EPSRC grant EP/I03582X/1.A finite group G is coprimely invariably generated if there exists a set of generators {g1,. .,gu} of G with the property that the orders |g1|,.
Lucchini, Andrea +4 more
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Weights in a Benson-Solomon block
Forum of Mathematics, Sigma, 2023 To each pair consisting of a saturated fusion system over a p-group together with a compatible family of Külshammer-Puig cohomology classes, one can count weights in a hypothetical block algebra arising from these data.
Justin Lynd, Jason Semeraro
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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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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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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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