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‘COHOMOLOGY AND PROFINITE TOPOLOGIES FOR SOLVABLE GROUPS OF FINITE RANK’

Part of: Special aspects of infinite or finite groups Connections with homological algebra and category theory

Published online by Cambridge University Press:  12 January 2015

KARL LORENSEN
KARL LORENSEN*
Affiliation:
Department of Mathematics and Statistics, Pennsylvania State University, Altoona College, Altoona, PA 16601, USA email [email protected]
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Abstract

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We remedy an omission in the proof of Proposition 2.7 of the paper ‘Cohomology and profinite topologies for solvable groups of finite rank’, Bull. Aust. Math. Soc.86 (2012), 254–265. This proposition states that a solvable group with finite abelian section rank has merely finitely many subgroups of any given index.

Keywords

solvable groupfinite abelian section rank

MSC classification

Primary: 20F16: Solvable groups, supersolvable groups
Secondary: 20J05: Homological methods in group theory
Type
Addendum
Information
Bulletin of the Australian Mathematical Society , Volume 91 , Issue 2 , April 2015 , pp. 351 - 352
Copyright
Copyright © 2015 Australian Mathematical Publishing Association Inc. 

References

Lorensen, K., ‘Cohomology and profinite topologies for solvable groups of finite rank’, Bull. Aust. Math. Soc. 86 (2012), 254–265, doi:10.1017/S0004972711003340.Google Scholar