Home > Research > Publications & Outputs > Groups with Identical k-Profiles

Research

Associated organisational units

Electronic data

  • v011a015

    Rights statement: © 2015 George Glauberman and Łukasz Grabowski Creative Commons License Creative Commons License Attribution Licensed under a Creative Commons Attribution License (CC-BY)

    Final published version, 188 KB, PDF document

    Available under license: CC BY: Creative Commons Attribution 4.0 International License

Links

Text available via DOI:

View graph of relations

Groups with Identical k-Profiles

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

Standard

Groups with Identical k-Profiles. / Glauberman, George; Grabowski, Łukasz.
In: Theory of Computing, Vol. 11, 15, 23.12.2015, p. 395-401.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Glauberman, G & Grabowski, Ł 2015, 'Groups with Identical k-Profiles', Theory of Computing, vol. 11, 15, pp. 395-401. https://doi.org/10.4086/toc.2015.v011

APA

Glauberman, G., & Grabowski, Ł. (2015). Groups with Identical k-Profiles. Theory of Computing, 11, 395-401. Article 15. https://doi.org/10.4086/toc.2015.v011

Vancouver

Glauberman G, Grabowski Ł. Groups with Identical k-Profiles. Theory of Computing. 2015 Dec 23;11:395-401. 15. doi: 10.4086/toc.2015.v011

Author

Glauberman, George ; Grabowski, Łukasz. / Groups with Identical k-Profiles. In: Theory of Computing. 2015 ; Vol. 11. pp. 395-401.

Bibtex

@article{51314895b33d41e0ab74c8ef058693df,
title = "Groups with Identical k-Profiles",
abstract = "We show that for $1 \le k \le \sqrt{2\log_3 n}-(5/2)$, the multiset ofisomorphism types of $k$-generated subgroups does not determine agroup of order at most $n$. This answers a question raised by TimGowers in connection with the Group Isomorphism problem.",
author = "George Glauberman and {\L}ukasz Grabowski",
year = "2015",
month = dec,
day = "23",
doi = "10.4086/toc.2015.v011",
language = "English",
volume = "11",
pages = "395--401",
journal = "Theory of Computing",
publisher = "University of Chicago, Department of Computer Science",

}

RIS

TY - JOUR

T1 - Groups with Identical k-Profiles

AU - Glauberman, George

AU - Grabowski, Łukasz

PY - 2015/12/23

Y1 - 2015/12/23

N2 - We show that for $1 \le k \le \sqrt{2\log_3 n}-(5/2)$, the multiset ofisomorphism types of $k$-generated subgroups does not determine agroup of order at most $n$. This answers a question raised by TimGowers in connection with the Group Isomorphism problem.

AB - We show that for $1 \le k \le \sqrt{2\log_3 n}-(5/2)$, the multiset ofisomorphism types of $k$-generated subgroups does not determine agroup of order at most $n$. This answers a question raised by TimGowers in connection with the Group Isomorphism problem.

U2 - 10.4086/toc.2015.v011

DO - 10.4086/toc.2015.v011

M3 - Journal article

VL - 11

SP - 395

EP - 401

JO - Theory of Computing

JF - Theory of Computing

M1 - 15

ER -