On the order of the unitary subgroup of a modular group algebra

Authors
Citation
V. Bovdi et Al. Rosa, On the order of the unitary subgroup of a modular group algebra, COMM ALGEB, 28(4), 2000, pp. 1897-1905
Citations number
7
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
28
Issue
4
Year of publication
2000
Pages
1897 - 1905
Database
ISI
SICI code
0092-7872(2000)28:4<1897:OTOOTU>2.0.ZU;2-J
Abstract
Let KG be a group algebra of a finite p-group G over a finite field K of ch aracteristic p. We compute the order of the unitary subgroup of the group o f units when G is either an extraspecial a-group or the central product of such a group with a cyclic group of order 4 or G has an abelian subgroup A of index 2 and an element b such that b inverts each element of A.