Characters and Sylow 2-subgroups of maximal class revisited

Gabriel Navarro; Benjamin Sambale; Pham Huu Tiep

doi:10.1016/j.jpaa.2018.02.002

Characters and Sylow 2-subgroups of maximal class revisited

Gabriel Navarro, Benjamin Sambale, Pham Huu Tiep

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We give two ways to distinguish from the character table of a finite group G if a Sylow 2-subgroup of G has maximal class. We also characterize finite groups with Sylow 3-subgroups of order 3 in terms of their principal 3-block.

Original language	English (US)
Pages (from-to)	3721-3732
Number of pages	12
Journal	Journal of Pure and Applied Algebra
Volume	222
Issue number	11
DOIs	https://doi.org/10.1016/j.jpaa.2018.02.002
State	Published - Nov 2018
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jpaa.2018.02.002

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title = "Characters and Sylow 2-subgroups of maximal class revisited",

abstract = "We give two ways to distinguish from the character table of a finite group G if a Sylow 2-subgroup of G has maximal class. We also characterize finite groups with Sylow 3-subgroups of order 3 in terms of their principal 3-block.",

author = "Gabriel Navarro and Benjamin Sambale and Tiep, {Pham Huu}",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier B.V.",

year = "2018",

month = nov,

doi = "10.1016/j.jpaa.2018.02.002",

language = "English (US)",

volume = "222",

pages = "3721--3732",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

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T1 - Characters and Sylow 2-subgroups of maximal class revisited

AU - Navarro, Gabriel

AU - Sambale, Benjamin

AU - Tiep, Pham Huu

PY - 2018/11

Y1 - 2018/11

N2 - We give two ways to distinguish from the character table of a finite group G if a Sylow 2-subgroup of G has maximal class. We also characterize finite groups with Sylow 3-subgroups of order 3 in terms of their principal 3-block.

AB - We give two ways to distinguish from the character table of a finite group G if a Sylow 2-subgroup of G has maximal class. We also characterize finite groups with Sylow 3-subgroups of order 3 in terms of their principal 3-block.

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U2 - 10.1016/j.jpaa.2018.02.002

DO - 10.1016/j.jpaa.2018.02.002

M3 - Article

AN - SCOPUS:85041944839

VL - 222

SP - 3721

EP - 3732

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 11

ER -

Characters and Sylow 2-subgroups of maximal class revisited

Abstract

ASJC Scopus subject areas

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