The largest character degree and the Sylow subgroups of finite groups (original) (raw)

AB OUND FOR j G : O p ( G ) j p IN TERMS OF THE LARGEST IRREDUCIBLE CHARACTER DEGREE OF A FINITE p-SOLVABLE GROUP G

Diane Benjamin

Proceedings of the American Mathematical Society, 1999

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A Bound for G : Op(G)P in Terms of the Largest Irreducible Character Degree of a Finite P-Solvable Group G

Diane Benjamin

1999

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On the character degrees of Sylow p-subgroups of Chevalley groups of type E

Tung Le

Forum Mathematicum, 2000

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Characters of relative p'-degree over normal subgroups

gabriel Ortega

Annals of Mathematics, 2013

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Minimal Degrees of Faithful Characters of Finite Groups with a T.I. Sylow p-Subgroup

Peter Landrock

Proceedings of the American Mathematical Society, 1987

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Character codegrees of maximal class p-groups

Mark Lewis

arXiv (Cornell University), 2018

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On the characters of Sylow ppp-subgroups of finite Chevalley groups G(pf)G(p^f)G(pf) for arbitrary primes

Tung Le

Mathematics of Computation, 2019

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Bounding an Index by the Largest Character Degree of a p -Solvable Group

Mark Lewis

Communications in Algebra, 2014

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On the Character Degrees of Sylow ppp-subgroups of Chevalley Group of Type E(pf)E(p^f)E(pf)

Tung Le

2010

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p-Parts of Brauer character degrees

Gabriel Navarro

Journal of Algebra, 2014

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Characters of p′-Degree of p-Solvable Groups

Gabriel Navarro

Journal of Algebra, 2001

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Constructing characters of Sylow p-subgroups of finite Chevalley groups

Tung Le, Kay Magaard, Alessandro Paolini

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Sylow Normalizers and Brauer Character Degrees

Antonio Beltrán Felip

Journal of Algebra, 2000

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Characters of the Sylow p-subgroups of the Chevalley groups

Tung Le

Journal of Algebra, 2011

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On the characters of ppp-solvable groups

P. Fong

Transactions of the American Mathematical Society, 1961

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p-PARTS OF CHARACTER DEGREES

Mark Lewis

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Groups whose irreducible character degrees are ordered by divisibility

Rod Gow

Pacific Journal of Mathematics, 1975

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The average degree of an irreducible character of a finite group

Maria Loukaki

Israel Journal of Mathematics, 2013

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Groups with just one character degree divisible by a given prime

Gabriel Navarro

Transactions of the American Mathematical Society, 2009

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On second maximal subgroups of Sylow subgroups of finite groups

Luis M. Ezquerro

Journal of Pure and Applied Algebra, 2011

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Bounding an index by the largest character degree of a solvable group

Mark Lewis

arXiv (Cornell University), 2010

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Modular Representation Theory of Finite Groups with T. I. Sylow p-Subgroups

Leonard Scott

Transactions of the American Mathematical Society, 1990

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Powers of characters of finite groups

David Chillag, Marcel Herzog

Journal of Algebra, 1986

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Groups with exactly one irreducible character of degree divisible by p

Robert Guralnick

Algebra & Number Theory, 2014

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On Finite Groups with Two Irreducible Character Degrees

abbas heydari

Bulletin of the Iranian Mathematical Society

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On the sum of the character degrees of a finite group

Robert Heffernan

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On the orders of zeros of irreducible characters

Silvio Dolfi

Journal of Algebra, 2009

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On zeros of characters of finite groups

zhencai Shen

Czechoslovak Mathematical Journal, 2010

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The co-degrees of irreducible characters

David Chillag

Israel Journal of Mathematics, 1991

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Irreducible Character Degree Sets of Solvable Groups

Mark Lewis

1998

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Blocks of small defect in alternating groups and squares of Brauer character degrees

Mark Lewis

Journal of Group Theory, 2017

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Characters of the Sylow p-subgroups of the Chevalley groups D 4 ( p n )

Tung Le

J Algebra, 2011

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Degrees of rational characters of finite groups

Gabriel Navarro

Advances in Mathematics, 2010

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On the order of the Sylow subgroups of the automorphism group of a finite group

Kendell Hyde

Glasgow Mathematical Journal, 1970

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A Remark on the Capability of Finite $ P $-Groups

Peyman Niroomand

To appear in Advanced Research in Pure Mathematics

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