On essential cohomology of powerful p -groups
Author(s) -
Fatma Altunbulak Aksu
Publication year - 2019
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1806-51
Subject(s) - mathematics , cohomology , pure mathematics , étale cohomology , algebra over a field , group cohomology , mathematics education
For an odd prime p " role="presentation"> p p p , we prove that a finite powerful p " role="presentation"> p p p -group having rank two Frattini quotient has nonzero essential cohomology. We also provide some examples and applications.
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