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ON B(5,k) GROUPS

Part of: Representation theory of groups

Published online by Cambridge University Press:  13 July 2011

YUANLIN LI  and
XIAOYING PAN
YUANLIN LI*
Affiliation:
Department of Mathematics, Brock University, St. Catharines, Ontario, Canada L2S 3A1 (email: yli@brocku.ca)
XIAOYING PAN
Affiliation:
Department of Mathematics, Brock University, St. Catharines, Ontario, Canada L2S 3A1 (email: kp09vn@brocku.ca)
*
✉For correspondence; e-mail: yli@brocku.ca
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Abstract

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A group G is said to be a B(n,k) group if for any n-element subset A of G, ∣A2∣≤k. In this paper, characterizations of B(5,16) groups and B(5,17) groups are given.

Keywords

small squaring propertyB(n,k) groups

MSC classification

Secondary: 20D60: Arithmetic and combinatorial problems
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 84 , Issue 3 , December 2011 , pp. 393 - 407
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

Footnotes

This research was supported in part by a Discovery Grant from the National Sciences and Engineering Research Council of Canada.

References

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