Zobrazeno 1 - 2
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pro vyhledávání: '"Chudamani Pranesachar Anil Kumar"'
Publikováno v:
International Journal of Group Theory, Vol 11, Iss 4, Pp 201-220 (2022)
For an odd prime $p$ and a positive integer $n$, it is well known that there are two types of extra-special $p$-groups of order $p^{2n+1}$, first one is the Heisenberg group which has exponent $p$ and the second one is of exponent $p^2$. This article
Externí odkaz:
https://doaj.org/article/452784b141224f38bc7940eb95113c97
Publikováno v:
Mosc. J. Comb. Number Theory 10, no. 1 (2021), 13-24
For non-negative integers $k\leq n$, we prove a combinatorial identity for the $p$-binomial coefficient $\binom{n}{k}_p$ based on abelian p-groups. A purely combinatorial proof of this identity is not known. While proving this identity, for $r\in \ma