TY - JOUR
ID - 1509
TI - CH-groups which are finite $p$-groups
JO - International Journal of Group Theory
JA - IJGT
LA - en
SN - 2251-7650
AU - Wilkens, Bettina
AD - Lecturer at University of Botswana
Y1 - 2012
PY - 2012
VL - 1
IS - 4
SP - 9
EP - 23
KW - Finite-$p$-groups
KW - AC-groups
KW - conjugate rank
DO - 10.22108/ijgt.2012.1509
N2 - In their paper "Finite groups whose noncentral commuting elements have centralizers of equal size", S. Dolfi, M. Herzog and E. Jabara classify the groups in question- which they call $ CH$-groups- up to finite $p$-groups. Our goal is to investigate the finite $p$-groups in the class. The chief result is that a finite $p$-group that is a $ CH$-group either has an abelian maximal subgroup or is of class at most $p+1$. Detailed descriptions, in some cases characterisations up to isoclinism, are given.
UR - https://ijgt.ui.ac.ir/article_1509.html
L1 - https://ijgt.ui.ac.ir/article_1509_028ff27c245e1f41ebc5c1a1b4f12e07.pdf
ER -