The real genus spectrum of abelian groups
2019 ◽
Vol 18
(08)
◽
pp. 1950158
Keyword(s):
The Real
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Let [Formula: see text] denote the set of positive integers that may appear as the real genus of a finite abelian group. We obtain a set of (simple) necessary conditions for an integer [Formula: see text] to belong to [Formula: see text]. We also prove that the real genus of an abelian group is not congruent to 3 modulo 4 and that the genus of an abelian group of odd order is a multiple of 4. Finally, we obtain upper and lower bounds for the density of the set [Formula: see text].
2011 ◽
Vol 12
(01n02)
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pp. 125-135
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Keyword(s):
1981 ◽
Vol 90
(2)
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pp. 273-278
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Keyword(s):
2019 ◽
Vol 150
(4)
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pp. 1937-1964
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Keyword(s):
2017 ◽
Vol 13
(04)
◽
pp. 913-932
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Keyword(s):
2016 ◽
Vol 12
(06)
◽
pp. 1509-1518
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Keyword(s):
2015 ◽
Vol 92
(1)
◽
pp. 24-31
Keyword(s):