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The Integral Heisenberg Group as an Infinite Amalgam of Commutative Groups

โœ Scribed by R. S. Ismagilov

Book ID
111598093
Publisher
SP MAIK Nauka/Interperiodica
Year
2003
Tongue
English
Weight
123 KB
Volume
74
Category
Article
ISSN
0001-4346

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We show that the function \(f(n)=\left\lceil\left(5 n^{2}-3 n-2\right) / 6\right\rceil\) is the best possible squaring bound for infinite abelian groups. That is, if \(G\) is an infinite group and \(k\) is an integer \(\geqslant 2\), such that the condition, \(\left|K^{2}\right| \leqslant f(k)\), ho