Results 31 to 40 of about 3,179 (217)
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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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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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 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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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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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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Conjugacy Class Sizes in Affine Semi-linear Groups [PDF]
Advances in Group Theory and Applications, 2020 The aim of this work is to study the structure and sizes of conjugacy classes in certain affine semi-linear groups. This provides a wealth of finite groups of small conjugate rank that are solvable and non-nilpotent.
Hossein Shahrtash
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On finite groups with square-free conjugacy class sizes [PDF]
International Journal of Group Theory, 2018 We report on finite groups having square-free conjugacy class sizes, in particular in the framework of factorised groups.
Maria-Jose Felipe +2 more
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Graf Konjugasi dari Hasil Kali Langsung Grup Alternating A4 dan Grup Simetri S3
Jambura Journal of MathematicsThis study investigates the structure of conjugacy graphs formed from the conjugacy classes in the alternating group A4, the symmetric group S3, and their direct product A4 × S3.
Muhammad Fikri Muammar +2 more
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Groups with reality and conjugacy conditions [PDF]
International Journal of Group Theory, 2012 Many results were proved on the structure of finite groups with some restrictions on their real elements and on their conjugacy classes. We generalize a few of these to some classes of infinite groups.
Patrizia Longobardi +2 more
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