Finite 2-groups all of whose nonmetacyclic subgroups are generated by involutions

Zdravka Božikov; Zvonimir Janko

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Finite 2-groups all of whose nonmetacyclic subgroups are generated by involutions

机译：有限2群，其所有非元环子群都是通过对合生成的

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摘要

We classify here nonmetacyclic finite 2-groups all of whose nonmetacyclic subgroups are generated by involutions (Theorem 1.1). This solves problem Nr. 710 for p = 2 stated by Y. Berkovich in [1]. For p > 2 the corresponding problem is open.

机译：我们在这里对非元环有限2-组进行分类，它们的所有非元环子组都是通过对合生成的（定理1.1）。这解决了问题Nr。由Y. Berkovich在[1]中提出的p = 2的710。对于p> 2，相应的问题是开放的。

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《Archiv der Mathematik》 |2008年第1期|p.14-17|共4页
作者
Zdravka Božikov; Zvonimir Janko;
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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
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关键词
Finite 2; groups of maximal class; minimal nonabelian p; groups; metacyclic p; groups; central products; Frattini subgroup;

机译：有限2;最大类群最小的非阿贝尔p组;元环p;群;中央产品;Frattini亚组;

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专利

1. Finite 2-groups all of whose nonmetacyclic subgroups are generated by involutions [J] . Bozikov Z, Janko Z Archiv der Mathematik . 2008,第1期

机译：有限2群，其所有非元环子群都是通过对合生成的
2. Finite 2-groups all of whose nonabelian subgroups are generated with involutions [J] . Zvonimir Janko Mathematische Zeitschrift . 2006,第2期

机译：有限2-群，其所有非阿贝尔亚群都是通过对合生成的
3. Finite 2-groups all of whose nonabelian subgroups are generated with involutions [J] . Janko Z Mathematische Zeitschrift . 2006,第2期

机译：有限2-群，其所有非阿贝尔亚群都是通过对合生成的
4. Suborbital graphs of a extended congruence subgroup by Fricke involution [C] . Murat Besenk International Conference on Advancements in Mathematical Sciences . 2015

机译：Fricke Mantion的扩展同一亚群的副载b
5. On Finitely Generated Nilpotent Groups and Their Subgroups [D] . Sandor, Bryan. 2017

机译：关于有限生成的幂等子群及其子群
6. Replacement of the F and G Proteins of Respiratory Syncytial Virus (RSV) Subgroup A with Those of Subgroup B Generates Chimeric Live Attenuated RSV Subgroup B Vaccine Candidates [O] . S. S. Whitehead, M. G. Hill, C. Y. Firestone, 1999

机译：用B组替换呼吸道合胞病毒（RSV）A组的F和G蛋白产生嵌合的减毒的RSV B组疫苗候选者。
7. A class of nonabelian nonmetacyclic finite 2-groups [O] . Ćepulić Vladimir, Pyliavska Olga S. 2006

机译：一类非阿贝尔非元环有限2-群

Finite 2-groups all of whose nonmetacyclic subgroups are generated by involutions

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