ON THE RESIDUAL FINITENESS OF THE HNN-EXTENSIONS AND GENERALIZED FREE PRODUCTS OF FINITE RANK GROUPS

D. N. Azarov

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ON THE RESIDUAL FINITENESS OF THE HNN-EXTENSIONS AND GENERALIZED FREE PRODUCTS OF FINITE RANK GROUPS

机译：有限秩群的HNN-扩张和广义自由产品的剩余剩余性

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摘要

We obtain necessary and sufficient conditions for the residual finiteness for some HNN-extensions and generalized free products of soluble minimax groups.

机译：我们获得了一些HNN扩展和可溶minimax基团的广义自由积的剩余有限性的充要条件。

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来源
《Siberian Mathematical Journal》 |2013年第6期|共9页
作者
D. N. Azarov;
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正文语种 eng
中图分类数学;
关键词
HNN-extension; generalized free product; soluble group; residual finiteness; almost approximability by finite p-groups;

机译：HNN扩展;广义自由积;可溶基团;剩余有限性;有限p组的近似性;

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专利

1. ON THE RESIDUAL FINITENESS OF THE HNN-EXTENSIONS AND GENERALIZED FREE PRODUCTS OF FINITE RANK GROUPS [J] . D. N. Azarov Siberian Mathematical Journal . 2013,第6期

机译：有限秩群的HNN-扩张和广义自由产品的剩余剩余性
2. ON THE RESIDUAL FINITENESS OF GENERALIZED FREE PRODUCTS OF FINITE RANK GROUPS [J] . D. N. Azarov Siberian Mathematical Journal . 2013,第3期

机译：关于有限秩群的广义自由产品的残缺性
3. A criterion for the F (pi) -residuality of free products with amalgamated cyclic subgroup of nilpotent groups of finite ranks [J] . Azarov D. N. Siberian Mathematical Journal . 2016,第3期

机译：具有有限秩的幂等组的混合循环子组的自由产品的F（pi）残差准则
4. Borel superrigidity and the classification problem for the torsion-free abelian groups of finite rank [C] . Simon Thomas International Congress of Mathematicians . 2006

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5. TORSION FREE MODULES OF FINITE RANK OVER A DISCRETE VALUATION RING. [D] . ARNOLD, DAVID MARION. 1969

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7. Generalized Free Products of Residually $P$-Finite Groups [O] . P.C. Wong, C.K. Tang, H.W. Gan 2006

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ON THE RESIDUAL FINITENESS OF THE HNN-EXTENSIONS AND GENERALIZED FREE PRODUCTS OF FINITE RANK GROUPS

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