On the order of the unitary subgroup of modular group algebra

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Let KG be a group algebra of a finite p-group G over a finite field K of ncharacteristic p. We compute the order of the unitary subgroup of the group of nunits when G is either an extraspecial 2-group or the central product of such a ngroup with a cyclic group of order 4 or G has an abelian subgroup A of index 2 nand an element b such that b inverts each element of A.

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subgroup unitary group algebra order modular
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