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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W.

Managing Editor: Wilson, John S. / Khukhro, Evgenii I. / Kramer, Linus


IMPACT FACTOR 2018: 0.470
5-year IMPACT FACTOR: 0.520

CiteScore 2018: 0.53

SCImago Journal Rank (SJR) 2018: 0.566
Source Normalized Impact per Paper (SNIP) 2018: 1.047

Mathematical Citation Quotient (MCQ) 2018: 0.48

Online
ISSN
1435-4446
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Volume 8, Issue 6

Issues

Elements of order at most 4 in finite 2-groups, 2

Zvonimir Janko
Published Online: 2005-11-18 | DOI: https://doi.org/10.1515/jgth.2005.8.6.683

Abstract

Let G  be a finite p -group. We show that if Ω2(G ) is an extraspecial group then Ω2(G ) = G  . If we assume only that

(the subgroup generated by elements of order p 2 ) is an extraspecial group, then the situation is more complicated. If p = 2, then either
 = G  or G   is a semidihedral group of order 16. If p > 2, then we can only show that
 = Hp (G  ).

About the article

Published Online: 2005-11-18

Published in Print: 2005-11-18


Citation Information: Journal of Group Theory, Volume 8, Issue 6, Pages 683–686, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgth.2005.8.6.683.

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[1]
Zvonimir Janko
Glasnik Matematicki, 2007, Volume 42, Number 2, Page 345

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