Semi-Extraspecial Groups with an Abelian Subgroup of Maximal Possible Order
Let p be a prime. A finite p-group G is defined to be semi-extraspecial if for every maximal subgroup N in Z(G) the quotient G/N is a an extraspecial group. In addition, we say that G is ultraspecial if G is semi-extraspecial and |G : G′| = |G′|^2. In this paper, we prove that every finite p-group o...
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| Format: | Article |
| Language: | English |
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Aracne
2018-06-01
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| Series: | Advances in Group Theory and Applications |
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| Online Access: | http://www.advgrouptheory.com/journal/Volumes/5/M.L.%20Lewis%20-%20Semi-extraspecial%20groups%20with%20an%20abelian%20subgroup%20of%20maximal%20possible%20order.pdf |