Result: A cohomological property of p -groups: A cohomological property of \(p\)-groups.

Title:
A cohomological property of p -groups: A cohomological property of \(p\)-groups.
Authors:
Thomas Müller, Peter J. Cameron
Source:
Archiv der Mathematik. 82:200-204
Publisher Information:
Springer Science and Business Media LLC, 2004.
Publication Year:
2004
Subject Terms:
Hall theorem, finite \(p\)-groups, Finite nilpotent groups, \(p\)-groups, Frobenius theorem, cohomology, Cohomology of groups, 0101 mathematics, 01 natural sciences, Arithmetic and combinatorial problems involving abstract finite groups
Document Type:
Academic journal Article
File Description:
application/xml
ISSN:
1420-8938
0003-889X
DOI:
10.1007/s00013-003-4865-z
Access URL:
https://zbmath.org/2119256
https://doi.org/10.1007/s00013-003-4865-z
https://link.springer.com/article/10.1007/s00013-003-4865-z
https://core.ac.uk/display/160608184
Rights:
Springer TDM
Accession Number:
edsair.doi.dedup.....2c5bddb734d83da6912fe86dfaf05a19
Database:
OpenAIRE

Further Information

The main result of this paper generalizes some theorems of Frobenius and Hall related with the ``Frobenius type'' of finite \(p\)-groups. The result states and proves that ``every group of prime power order is of Frobenius type''.