Results 11 to 20 of about 6,291 (145)
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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Finite groups with the same conjugacy class sizes as a finite simple group [PDF]
International Journal of Group Theory, 2019 For a finite group $H$, let $cs(H)$ denote the set of non-trivial conjugacy class sizes of $H$ and $OC(H)$ be the set of the order components of $H$. In this paper, we show that if $S$ is a finite simple group with the disconnected prime graph and $
Neda Ahanjideh
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On p-regular G-conjugacy class sizes [PDF]
Journal of Inequalities and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Xianhe, Chen, Ruifang, Geng, Xu
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Determination of conjugacy class sizes from products of characters [PDF]
Archiv der Mathematik, 2012 Robinson showed that the character degrees are determined by knowing, for all $n$, the number of ways that the identity can be expressed as a product of $n$ commutators. Earlier, Strunkov showed that the existence of characters of $p$-defect 0 can be determined by counting solutions to certain equations involving commutators and conjugates.
Andrus, Ivan, Hegedűs, Pál
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Sets of $p$-powers as conjugacy class sizes [PDF]
Proceedings of the American Mathematical Society, 1999 Let \(G\) be a finite group and \(\text{cs}(G)\) the set of the sizes of the conjugacy classes of \(G\). Let \(p\) be a prime and let \(S\) be a finite set of powers of \(p\) containing \(p^0=1\). It is proved that there exists a \(p\)-group \(G\) of class 2 with the property \(\text{cs}(G)=2\).
Cossey, Peter (John), Hawkes, Trevor
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CONJUGACY CLASS SIZES IN FINITE GROUPS [PDF]
Journal of the Australian Mathematical Society, 2008 AbstractWe make several conjectures, and prove some results, pertaining to conjugacy classes of a given size in finite groups, especially in p-groups and 2-groups.
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Finite p-groups of nilpotency class 3 with two conjugacy class sizes [PDF]
Israel Journal of Mathematics, 2020 24 pages, Commets are welcome, some anomalies in the first version have been ...
Naik, Tushar Kanta +2 more
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Square-free class sizes in products of groups [PDF]
, 2017 We obtain some structural properties of a factorised group $G = AB$, given that the conjugacy class sizes of certain elements in $A\cup B$ are not divisible by $p^2$, for some prime $p$.
Felipe, M. J. +2 more
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SOME PRODUCTS OF SUBGROUPS AND VANISHING CONJUGACY CLASS SIZES
Bulletin of the Australian Mathematical Society, 2022 AbstractIn this note, we investigate some products of subgroups and vanishing conjugacy class sizes of finite groups. We prove some supersolubility criteria for groups with restrictions on the vanishing conjugacy class sizes of their subgroups.
ADOLFO BALLESTER-BOLINCHES +3 more
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The set of autotopisms of partial Latin squares [PDF]
, 2011 Symmetries of a partial Latin square are determined by its autotopism group. Analogously to the case of Latin squares, given an isotopism $\Theta$, the cardinality of the set $\mathcal{PLS}_{\Theta}$ of partial Latin squares which are invariant under ...
Falcón, R. M.
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