Timeline for Two questions on the Schur multiplier of groups of order $p^4$
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Feb 13, 2015 at 8:48 | vote | accept | Ofir Schnabel | ||
| Feb 12, 2015 at 21:29 | answer | added | Marty Isaacs | timeline score: 3 | |
| Dec 30, 2014 at 8:43 | comment | added | Ofir Schnabel | Geoff Robinson- Thank you for your answer. This says that such $P$ (if exists) is a group of central type in the classical sense. Do you know which non-abelian groups $G$ of order $p^4$ admits a projective representation of dimension $p^2$. In other words, which non-abelian groups $G$ of order $p^4$ are central type in the non-classical sense? | |
| Dec 29, 2014 at 23:24 | comment | added | Geoff Robinson | Any finite $p$-group $P$ which has $Z(P)$ cyclic, $[P:Z(P)] = p^{4}$ and $P^{\prime} \leq Z(P)$ has a faithful irreducible complex character of degree $p^{2} = \sqrt{[P:Z(P)]}.$ One such group $P$ is an extraspecial group of order $p^{5}$. | |
| Dec 29, 2014 at 13:20 | comment | added | Ofir Schnabel | Leandro Vendramin- Thank you for your answer. I am familier with Karpilovsky book. However, I didn't found there answers to my questions. | |
| Dec 29, 2014 at 10:56 | comment | added | Leandro Vendramin | Chapter III of [Karpilovsky, Gregory. The Schur multiplier. London Mathematical Society Monographs. New Series, 2. The Clarendon Press, Oxford University Press, New York, 1987. x+302 pp. ISBN: 0-19-853554-6 MR1200015 (93j:20002)] is devoted to the Schur multiplier of $p$-groups and contains several useful calculations. | |
| Dec 29, 2014 at 10:45 | history | edited | Stefan Kohl♦ | CC BY-SA 3.0 |
Fixed a few typo's.
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| Dec 29, 2014 at 10:38 | review | First posts | |||
| Dec 29, 2014 at 10:45 | |||||
| Dec 29, 2014 at 10:37 | history | asked | Ofir Schnabel | CC BY-SA 3.0 |