THE BAD BEHAVIOR OF REPRESENTATION GROUPS
2005 ◽
Vol 04
(02)
◽
pp. 139-151
Keyword(s):
Let (H, A) be a primitive central extension of a finite group G. We show that A is not characteristic in H in general, and further demonstrate in a series of examples that results, which hold about inner automorphisms of H, do not extend to the full automorphism group of H. We also give some new results about isoclinism and representation groups of G in the case that H is capable. Finally we give an example of two non-isomorphic groups of the same order, which not only have a representation group in common, but also have identical projective character tables.
2016 ◽
Vol 52
◽
pp. 197-206
◽
Keyword(s):
1986 ◽
Vol 40
(2)
◽
pp. 253-260
◽
Keyword(s):
2011 ◽
Vol 331
(1)
◽
pp. 482-489
◽
1964 ◽
Vol 16
◽
pp. 485-489
◽
Keyword(s):
2018 ◽
Vol 17
(07)
◽
pp. 1850122
◽
1973 ◽
Vol 9
(3)
◽
pp. 363-366
◽
Keyword(s):
1991 ◽
Vol 14
(1)
◽
pp. 149-153
Keyword(s):
1960 ◽
Vol 4
(4)
◽
pp. 163-170
◽