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On recognition of A6 × A6 by the set of conjugacy class sizes. / Panshin, V.

In: Siberian Electronic Mathematical Reports, Vol. 19, No. 2, 2022, p. 762-767.

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

Harvard

Panshin, V 2022, 'On recognition of A6 × A6 by the set of conjugacy class sizes', Siberian Electronic Mathematical Reports, vol. 19, no. 2, pp. 762-767. https://doi.org/10.33048/semi.2022.19.063

APA

Panshin, V. (2022). On recognition of A6 × A6 by the set of conjugacy class sizes. Siberian Electronic Mathematical Reports, 19(2), 762-767. https://doi.org/10.33048/semi.2022.19.063

Vancouver

Panshin V. On recognition of A6 × A6 by the set of conjugacy class sizes. Siberian Electronic Mathematical Reports. 2022;19(2):762-767. doi: 10.33048/semi.2022.19.063

Author

Panshin, V. / On recognition of A6 × A6 by the set of conjugacy class sizes. In: Siberian Electronic Mathematical Reports. 2022 ; Vol. 19, No. 2. pp. 762-767.

BibTeX

@article{48dab07cecc448cc849c8e0a8a00c357,
title = "On recognition of A6 × A6 by the set of conjugacy class sizes",
abstract = "For a finite group G denote by N(G) the set of conjugacy class sizes of G. Recently the following question has been asked: Is it true that for each nonabelian finite simple group S and each n ∈ N, if the set of class sizes of a finite group G with trivial center is the same as the set of class sizes of the direct power Sn, then G ≃ Sn? In this paper we approach an answer to this question by proving that A6 X A6 is uniquely determined by N(A6 X A6) among finite groups with trivial center.",
keywords = "Class sizes., Conjugacy classes, Finite groups",
author = "V. Panshin",
note = "Chebunin, M. G. Modifications of Karlin and Simon text MODELS / M. G. Chebunin, A. P. Kovalevskii // Siberian Electronic Mathematical Reports. – 2022. – Vol. 19, No. 2. – P. 708-723. The reported study was funded by RFBR and CNRS according to the research project No. 19-51-15001.",
year = "2022",
doi = "10.33048/semi.2022.19.063",
language = "English",
volume = "19",
pages = "762--767",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",
number = "2",

}

RIS

TY - JOUR

T1 - On recognition of A6 × A6 by the set of conjugacy class sizes

AU - Panshin, V.

N1 - Chebunin, M. G. Modifications of Karlin and Simon text MODELS / M. G. Chebunin, A. P. Kovalevskii // Siberian Electronic Mathematical Reports. – 2022. – Vol. 19, No. 2. – P. 708-723. The reported study was funded by RFBR and CNRS according to the research project No. 19-51-15001.

PY - 2022

Y1 - 2022

N2 - For a finite group G denote by N(G) the set of conjugacy class sizes of G. Recently the following question has been asked: Is it true that for each nonabelian finite simple group S and each n ∈ N, if the set of class sizes of a finite group G with trivial center is the same as the set of class sizes of the direct power Sn, then G ≃ Sn? In this paper we approach an answer to this question by proving that A6 X A6 is uniquely determined by N(A6 X A6) among finite groups with trivial center.

AB - For a finite group G denote by N(G) the set of conjugacy class sizes of G. Recently the following question has been asked: Is it true that for each nonabelian finite simple group S and each n ∈ N, if the set of class sizes of a finite group G with trivial center is the same as the set of class sizes of the direct power Sn, then G ≃ Sn? In this paper we approach an answer to this question by proving that A6 X A6 is uniquely determined by N(A6 X A6) among finite groups with trivial center.

KW - Class sizes.

KW - Conjugacy classes

KW - Finite groups

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UR - https://www.elibrary.ru/item.asp?id=50336845

UR - https://www.mendeley.com/catalogue/d3ccd0d6-16c6-3f92-bc6f-8211a47856a8/

U2 - 10.33048/semi.2022.19.063

DO - 10.33048/semi.2022.19.063

M3 - Article

VL - 19

SP - 762

EP - 767

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - 2

ER -

ID: 45803053